1836:(Note that while my username is indeed "Point-set topologist", that is not my primary research interest! (I know it is confusing ...) Actually, the reason I choose my name was more to do with the fact that most of my research interests, e.g., algebraic topology, algebraic geometry, C* algebras, and algebra in general (especially finite group theory and representation theory) have the general theme of "point-set topology". (Especially the first three.) They are not quite the same as "point-set topology" of course, but choosing a username such as C* algebraist might have been somewhat awkward seeing as there is already an user called
986:
best strategy, even when they get creative to get attention. (I am not saying that this happened here, merely that it's a useful interpretation.) By the way, I often suspect sockpuppetry and am quiet about it most of the time. So far all my sockpuppetry complaints ended in confirmation, but in the majority of cases I found conclusive evidence that I was wrong before I made the suspicion public. I am available if you need a second opinion at some time in the future.
777:
22:
1729:
intersection of all the sets in an empty family of sets, is the universal set, because an intersection of the sets is the complement of the union of the complements. Since the family of sets is empty, so is the family of complements. The union over that empty family is therefore empty, and its complement is the universal set. It makes more sense using symbolic logic than it does using words.
964:
examine your own comport at RD/Math to be sure it fits with community norms. On the RD's I participate at, we go by the standard that if you don't think a question is good enough you either 1) ask for clarification; or 2) ignore it. Other people seemed quite able to answer the one-word "tesselation" question, so there was no need for you to threaten the OP with words like "vandalism".
1946:
209:
1738:
One reason we need the empty set and the universal set to be open because we want the constant map to be continuous. Consider the map f(x) = p, where p is any point in the codomain of f. The inverse image of any open set containing p is the universal set (the domain of f) while the inverse image of
1641:
and the empty set are in the topology". Then a non-empty set with a "relevant topology" that is
Hausdorff (here "Hausdorff" means that any two distinct points are separated by neighborhoods; the same definition as the usual one on topological spaces) would necessarily have to include the empty set in
1470:
To use the system, you can simply edit the page as you normally would, but you should also mark the latest revision as "reviewed" if you have looked at it to ensure it isn't problematic. Edits should generally be accepted if you wouldn't undo them in normal editing: they don't have obvious vandalism,
1967:
is currently developing new tools to make new page patrolling much easier. Whether you have patrolled many pages or only a few, we now need to know about your experience. The survey takes only 6 minutes, and the information you provide will not be shared with third parties other than to assist us
1819:
Rick, I greatly appreciate your edits and do not want to give you the impression that they were not considered - I really do mean this. I have reinstalled your edits to the article. I am more than happy to discuss any changes to your introduction that are necessary on the talk page of the article. I
854:
Thank you for the reply. I agree that locally ringed spaces have well-defined tangent spaces, but the local ring structure is something in addition to the topology (e.g., the sphere and circle are homeomorphic in the
Zariski topology; exotic spheres are homeomorphic but not diffeomorphic, etc.) But
810:
This speculation on what I can and cannot imagine is totally uncalled for. Please focus your comments on the content, not on the editors. Incidentally, I am aware that the derivative of any function with values in a zero-dimensional manifold is zero, but is certainly not something that one is used
456:
PST, The reference desk is intended to help posters understand their mathematical questions better. Unfortunately, by criticizing the quality of comments from other ref-deskers, you have not been helping the purpose of the ref-desk. Your comments may discourage other users from participating. If
985:
Hi PST, I just wanted to say that (1) I can understand your initial reaction very well, (2) it's generally a good idea not to make sockpuppetry accusations without very good evidence and not to make them in relatively marginal situations such as this one, and (3) ignoring the trolls is usually the
963:
Hello PST, I'm reviewing your recent interactions at the Maths
Reference desk and your accusation of sockpuppetry against Dr Dec. You should know that making such an accusation is a serious charge and you need to have very solid ground if you are to proceed. I would suggest that you should instead
1474:
The "reviewers" property does not obligate you to do any additional work, and if you like you can simply ignore it. The expectation is that many users will have this property, so that they can review pending revisions in the course of normal editing. However, if you explicitly want to decline the
502:
Thankyou for the reply. I am interested in many of the
European languages but unfortunately do not know many. In particular, I do not know of the Hungarian alphabet. Actually, many Spanish idioms are formed using mozo. For example, "buen mozo" may mean "handsome" whereas "mozo de cordel" may mean
1450:
system that is currently being tried. This system loosens page protection by allowing anonymous users to make "pending" changes which don't become "live" until they're "reviewed". However, logged-in users always see the very latest version of each page with no delay. A good explanation of the
998:
PST, thanks much for your graceful followup on this, you've done the right thing. 'Tis all behind us now, on to the next questions! :) (And it sure won't be me answering the maths questions, selecting the right weld rod - that I can help with, and I welded all my math textbooks shut years ago :)
460:
Further, although you may have felt that that particular comment is not helpful, please keep in mind that many mathematical questions can be answered in a wide variety of ways, and that different approaches may be most helpful to different people. Although you felt a particular response was not
2086:
experienced patrollers are being accorded the the new right without the need to apply, and if you have significant previous experience of patrolling new pages, we strongly encourage you to apply for the new right as soon as possible - we need all the help we can get, and we are now providing a
1728:
I hope Point-set
Topologist won't mind if I join in. Technically the empty union, that is the union of all the sets in an empty family of sets, contains all elements in any set in the family, but there are no sets in the family, so it equals the empty set. And the empty intersection, the
826:
I'm afraid I had to revert your edit as unsupported by sources. Also, I am unfamiliar with any definition of the derivative that applies for mappings between topological spaces lacking a differentiable structure. Perhaps you could, for my own personal edification, supply a reference.
811:
to considering because it is, by definition, a trivial degenerate case of a much more interesting general concept. The text you have added to the article is muddled and inappropriate to the intended level. I recommend that either my version, or some other version, should be restored.
679:
That is fine. I too dislike seeing versions of theorems which are uncommon but given higher priority than more common versions (for instance, I have seen weak corollaries of some theorems replace the theorem itself). Having another look at
Nakayama's lemma, I think that the article is
644:
I enjoyed telling your irrational-slope counter-example to various people. It is nice that one can explain it just walking or having luch. And at the first glance, it looks like a fool invention, but at the end it suddenly reveals the genial purpose. Thanks!
1820:
think that your introduction was very good and with minor fixing, could really work out. My initial concerns were more to do with the fact that the article started off somewhat awkardly, but I believe this can be fixed. I hope you do not mind. Best,
457:
you feel that another user's actions are actively malacious or harmful, then it would be most appropriate to address them on their talk page. Please consider your comments more carefully regarding whether they are constructive before posting.
845:(It doesn't matter anymore, as Charles Matthew's has removed the section for the reason that it is "based on too many misconceptions", a reason that I think I can agree with after various discussions pertaining to the example.)
563:
I understand it was not malicious, but I disagree with you on this topic. The definition should be in its own section at the beginning so that those who wish to find it do not have to read through motivation after motivation.
232:
and hopefully this one has made your day better. Spread the WikiLove by smiling at someone else, whether it be someone you have had disagreements with in the past or a good friend, Go on smile! Cheers, and Happy editing!=)
1458:
If there are "pending" (unreviewed) edits for a page, they will be apparent in a page's history screen; you do not have to go looking for them. There is, however, a list of all articles with changes awaiting review at
1799:, though I wish you had modified what I wrote instead of reverting it. Of course, I should not be surprised that we disagree, since I'm an algebraic topologist and you're a point-set topologist -- worlds apart. : )
2029:. It has the authority to enact binding solutions for disputes between editors, primarily related to serious behavioural issues that the community has been unable to resolve. This includes the ability to impose
967:
Additionally, I would suggest that if you wish to discuss subjects other than the OP question itself (such as whether the OP is acting in good faith), you should conduct those discussions at the
322:
explaining (in the see-also section) why this link is relevant? Nothing in the
Cavalieri article explicitly mentions Borsuk-Ulam, nor vice versa, so as it is the link is completely bewildering. â
1531:. I didn't really keep up to date with that thread, and I missed your replies. I've just seen them now. They were most informative, and I wanted to give you my thanks. So here you are: Thanks!
1422:
1157:
1637:
a "relevant topology" (this is not a real name; just something I made up just now so it is easier to talk about these things) if it satisfies every axiom except possibly that "
1333:
1212:
918:
Unfortunately, no. However, fighting off IP's is a much easier task compared to fighting off established users. I'll let the IP's make the
Wikidrama for the time being. ;) --
806:"I never imagined that so many people are too tied to the "geometric notion" of the derivative that they cannot imagine a definition of the concept in more abstract contexts"
547:
Please assume good faith on my part. It is not my intention to destroy your work; rather I wish to note that your edits do not conform to that required by FA standards. --
1247:
1368:
971:
rather than directly in the thread. The public face of the RD's should be only about answering questions, we can do all the "internal" stuff on the talk page. Regards!
1610:
Did you hear this with relation to an
Euclidean topology or some other naturally occuring topology? It cannot be redundant in general since if we take a non-empty set
1689:
as a proper subset). But this construction is probably not very interesting since (at least as far as I can see) there is not any new information or insight obtained.
1471:
personal attacks, etc. If an edit is problematic, you can fix it by editing or undoing it, just like normal. You are permitted to mark your own changes as reviewed.
790:
761:
sometimes, should it have some activity -workshops/schools/meetings of interest for you. In that case, we can share a break-lunch, and even the lunch! Cheers, --
721:. Furthermore, an equally descriptive yet more "polite" alternative such as the one you suggested would certainly not have fit in the edit summary field.
147:
1463:. Because there are so few pages in the trial so far, the latter list is almost always empty. The list of all pages in the pending review system is at
412:. I clicked on it and as I expected, it's a disambiguation page. Doesn't common sense lead you to expect that? I changed your link so that it says
43:
39:
2082:
Under the new rule, you may find that you are temporarily unable to mark new pages as reviewed. However, this is nothing to worry about - most
1919:
Yes. And I'm feeling really good today, because yesterday I got a check for another story sold to The
Magazine of Fantasy and Science Fiction.
487:(a bit like the end of 'Frodo', it can be written this way as 'FrodĂł'). Is it right that, mozo (or kind of) means porter in Spanish? Regards,
106:
message. If you have any questions at all or problems here, please do not hesitate to drop by my talk page. Alternatively, I have found that
2075:
is being updated and improved. The documentation and tutorials have also been revised and given a facelift. Most importantly a new user group
2103:
2091:
2054:
860:
812:
465:
706:
If using the word "rubbish" in an edit summary is rude and unnecessary, then this is a clear case of the pot calling the kettle black:
532:
1696:
a while back that roughly describes why the axioms are the way they are and the motivation for the abstract formulation of a topology:
1899:
I was just wondering ... Since I thought "Rick Norwood" was a fairly common name, it was not obvious that you were the same person as
828:
273:
1705:
1074:
No apology needed. Everyone does it. For example, I once proclaimed to my students in an algebra class that R was not an ideal of R.
1993:
525:
I'm standardizing the definitions and formats for group, semigroup, magma, monoid, etc. Stop undoing them. They're not finished.
2099:
2050:
602:
905:
888:
726:
669:
413:
169:
1649:
be open is in general not redundant with fairly natural topologies (I suppose). For example, take any topological space
684:
after your improvements (and the sourcing of other texts), and certainly far better than what I could ever have done. --
164:
2041:
describes the Committee's roles and responsibilities in greater detail. If you wish to participate, you are welcome to
2046:
859:(which is a redlink as of writing this) that (correct me if I am wrong) is defined for arbitrary topological spaces?
96:
Welcome, PST! I am surprised to see that no one has properly welcomed you here. I have transcluded below a standard
1884:
Nobody has ever asked me that question before, but I'm the only Rick Norwood I know. What prompted the question?
1904:
1864:
1841:
1821:
1709:
1506:
1447:
1094:
Thanks for responding...I am still reading your response...will post here if I have further question...Thanks. --
919:
737:
685:
619:
548:
504:
432:
383:
342:
248:
174:
1840:! "Point-set topologist" just has that nice "feeling" to it. (Perhaps that is because I am now used to it ...))
899:
882:
722:
665:
53:
2071:
In order to better control the quality of new pages, keep out the spam, and welcome the genuine newbies, the
864:
816:
363:
A while ago I commented there is some organization for people who want to mentor new Wikipedians. I found it:
327:
469:
2072:
536:
421:
1972:
If this invitation also appears on other accounts you may have, please complete the survey once only.
1642:
the "topology". Thus for "many" topological spaces, requiring the empty set to be open is indeed redundant.
503:"porter (male)". Most of the time however, the context in which it is used is "buen mozo" or "handsome". --
1992:
You are receiving this invitation because you have patrolled new pages. For more information, please see
1924:
1889:
1809:
1752:
1594:
1545:
1460:
832:
783:
776:
364:
300:
221:
154:
143:
121:
856:
1997:
1452:
950:
181:
1375:
1110:
1286:
Thank you for your last response to my question. I finally understood when you put it line by line.
990:
987:
590:
528:
185:
1802:
I hope you will help find a more acceptable first paragraph that is intelligable to the lay reader.
1569:
and the empty set â
be open is redundant. That it is somehow implied by the other two axioms, i.e.
483:
In my user name the 'Ăł' has no relation to Spanish language. It's just a joke. We have a letter for
2042:
1464:
1293:
1167:
598:
569:
484:
323:
197:
189:
1900:
1860:
1796:
1432:
1276:
1262:
1099:
1004:
976:
953:
943:
417:
269:
229:
159:
150:. I hope you like the place and decide to stay. Here are some pages that you might find helpful:
111:
59:
1975:
If this has been sent to you in error and you have never patrolled new pages, please ignore it.
1075:
1060:
196:(~~~~); this will automatically insert your username and the date. If you need help, check out
2018:
2009:
1968:
in analyzing the results of the survey; the WMF will not use the information to identify you.
1920:
1885:
1805:
1748:
1583:
1534:
1528:
1217:
968:
615:
492:
294:
215:
115:
107:
2038:
2022:
1475:"reviewer" property, you may ask any administrator to remove it for you at any time. â Carl
1455:. The system is only being used for pages that would otherwise be protected from editing.
1446:
I have added the "reviewers" property to your user account. This property is related to the
1340:
947:
766:
650:
586:
What does IP stand for? You keep calling me that, and I was just wondering what it meant.
100:
82:
55:
21:
2037:, editing restrictions, and other measures needed to maintain our editing environment. The
736:
I have replied on your talk page, but do not deny that those edit summaries are correct. --
1837:
450:
1580:
Have you heard of this before? I've tried to find where I read it, but I can't seem to.
279:
By the way, how's life? My email address is still working if you ever want to use it ;)
2034:
2026:
1079:
1064:
1029:
594:
565:
238:
2107:
2058:
1928:
1914:
1893:
1874:
1851:
1831:
1813:
1785:
1756:
1719:
1604:
1555:
1516:
1499:
1436:
1280:
1266:
1103:
1083:
1068:
1049:
1008:
993:
980:
929:
909:
892:
868:
836:
820:
770:
747:
730:
695:
673:
654:
629:
606:
573:
558:
540:
514:
496:
473:
442:
425:
393:
376:
352:
331:
308:
283:
258:
129:
86:
2030:
1964:
1494:
1482:
1428:
1272:
1258:
1095:
1000:
972:
372:
57:
1271:
maybe you have logged off...I will post in Reference desk the follow up....thanks.--
664:
You are right. My edit summary was rude and uncalled-for. I sincerely apologize.
1701:
1025:
488:
461:
helpful, the OP may have found that response useful to his or her understanding.
1770:
1033:
1021:
762:
646:
78:
110:
is generally quite willing to help new users. If you need typesetting advice,
409:
1039:
280:
1692:
This might be too elementary for you, but I wrote the following section in
200:, ask me on my talk page, or ask your question on this page and then place
1673:
satisfies every axiom that a topological space should satisfy except that
898:
Whoa. Looks like even the reference desk isn't safe from Wikidrama. Â ;-)
114:
is the uncontested guru. Most importantly, please enjoy your time here.
1981:
1697:
1693:
1490:
1478:
368:
1945:
1769:
Wanna email me and 'splain what you're doing while you're logged out? -
1059:
Thanks for the welcome! I feel Korean whenever I type my signature...
759:
431:
I guess I forgot that there were things apart from mathematics. --
208:
193:
2025:
is the panel of editors responsible for conducting the Knowledge
1987:
Many thanks in advance for providing this essential feedback.
1565:
I remember reading somewhere that the axiom that the whole set
1681:
could be some Euclidean space with the standard topology (and
1626:
would satisfy the two axioms you stated but would not contain
618:" but commonly referred to as "IP adress" rather than "IP". --
60:
15:
1254:
but I keep getting stuck on where you are substituting what?
1944:
793:
at any time by removing the {{Talkback}} or {{Tb}} template.
775:
207:
1706:
Do the empty set and the entire set really need to be open?
268:
Hey, I noticed you were wanting a good article review of
1630:
nor the empty set. Of course, this is a trivial example.
2090:
Find out more about this exiting new user right now at
782:
Hello, Point-set topologist. You have new messages at
719:
716:
713:
710:
707:
405:
338:
319:
74:
2098:
and be sure to read the new tutorial before applying.
1645:
On the other hand, the requirement that the whole set
1378:
1343:
1296:
1220:
1170:
1113:
1576:
The finite intersection of open sets is an open set.
1665:to be open if and only if it is in the topology on
382:
Thanks! I will most certainly have a look at it. --
1704:may perhaps be more appropriate to your question:
1416:
1362:
1327:
1241:
1206:
1151:
293:I replied to you. Take your time. Best regards,
2017:You appear to be eligible to vote in the current
1633:Suppose we call a collection of subsets of a set
272:. Could I suggest you follow the instructions at
69:Your Spanish translation at the language ref desk
367:. I think it's worth for you to take a look. --
2087:dynamic, supportive environment for your work.
1739:any open set not containing p is the empty set.
1622:, then the "topology" on X consisting only of
241:}} to their talk page with a friendly message.
8:
881:Yes, I am back for the time being. Thanks,
180:I hope you enjoy editing here and being a
1388:
1383:
1377:
1348:
1342:
1307:
1295:
1225:
1219:
1181:
1169:
1123:
1118:
1112:
276:? If I get time I will gladly review it.
1661:as a proper subset. Declare a subset of
942:Hi PST, I've replied to your comment at
1795:Thanks for your comments on my edit to
1237:
1202:
1573:The union of open sets is an open set.
1527:PST, thanks a lot for your replies to
204:before the question. Again, welcome!
1614:and choose a non-empty proper subset
7:
2073:current system we introduced in 2011
247:Thankyou! I appreciate your help. --
228:) has smiled at you! Smiles promote
1669:. Then this "relevant topology" on
134:Here is the template, as promised:
1417:{\displaystyle b^{\log _{b}(x)}=x}
1152:{\displaystyle b^{\log _{b}(x)}=x}
802:Regarding your edit summary here:
274:Knowledge:Good article nominations
14:
2043:review the candidates' statements
1677:itself is not open. For example,
1487:12:33, 18 June 2010 (UTC) â Carl
959:RD/Math - sock puppet allegations
318:Could you add a little detail to
142:Hello, Point-set topologist, and
1963:Hello Point-set topologist! The
1940:
1251:(The above being exponent to b)
1032:, although, a disambig page for
758:By the way, have a look to this
20:
1856:Just out of curiosity, are you
1442:I have marked you as a reviewer
2049:. For the Election committee,
2019:Arbitration Committee election
2010:ArbCom elections are now open!
1903:. Just a question I guess ...
1700:. The following discussion at
1403:
1397:
1328:{\displaystyle y=\log _{b}(x)}
1322:
1316:
1207:{\displaystyle log_{b}(x)=y\,}
1193:
1187:
1138:
1132:
1:
2108:04:29, 13 November 2016 (UTC)
2059:13:58, 24 November 2015 (UTC)
1437:21:43, 29 November 2009 (UTC)
1281:08:46, 27 November 2009 (UTC)
1267:08:41, 27 November 2009 (UTC)
1104:08:38, 27 November 2009 (UTC)
1084:10:03, 13 December 2009 (UTC)
1069:22:24, 22 November 2009 (UTC)
1050:14:01, 19 November 2009 (UTC)
1009:01:37, 19 November 2009 (UTC)
994:13:41, 17 November 2009 (UTC)
981:13:32, 17 November 2009 (UTC)
954:18:16, 16 November 2009 (UTC)
930:02:44, 17 November 2009 (UTC)
910:13:23, 16 November 2009 (UTC)
893:14:21, 15 November 2009 (UTC)
414:derivation (abstract algebra)
284:23:33, 19 February 2009 (UTC)
155:The five pillars of Knowledge
2064:New deal for page patrollers
2000:12:49, 26 October 2011 (UTC)
1685:could be any set containing
1505:Thanks for letting me know!
1028:can be easily confused with
869:13:31, 8 November 2009 (UTC)
855:there is something like the
837:03:16, 8 November 2009 (UTC)
821:11:29, 5 November 2009 (UTC)
771:17:51, 30 October 2009 (UTC)
259:10:02, 19 January 2009 (UTC)
237:Smile at others by adding {{
170:How to write a great article
146:to Knowledge! Thank you for
130:01:13, 19 January 2009 (UTC)
87:13:04, 18 January 2009 (UTC)
2045:and submit your choices on
1929:11:41, 28 August 2010 (UTC)
1915:23:38, 27 August 2010 (UTC)
1894:15:50, 27 August 2010 (UTC)
1875:13:46, 27 August 2010 (UTC)
1852:13:40, 27 August 2010 (UTC)
1832:13:33, 27 August 2010 (UTC)
1814:12:11, 27 August 2010 (UTC)
1786:07:59, 26 August 2010 (UTC)
1757:12:22, 27 August 2010 (UTC)
1720:07:53, 10 August 2010 (UTC)
1523:My pseudo-topology question
748:04:02, 25 August 2009 (UTC)
731:13:16, 24 August 2009 (UTC)
359:Might save you some trouble
2123:
2100:MediaWiki message delivery
2051:MediaWiki message delivery
1605:23:01, 9 August 2010 (UTC)
1556:22:50, 9 August 2010 (UTC)
630:04:05, 25 April 2009 (UTC)
607:03:37, 25 April 2009 (UTC)
574:02:07, 25 April 2009 (UTC)
559:01:48, 25 April 2009 (UTC)
541:01:27, 25 April 2009 (UTC)
515:14:36, 20 April 2009 (UTC)
497:14:01, 20 April 2009 (UTC)
474:08:30, 13 April 2009 (UTC)
443:01:15, 19 March 2009 (UTC)
426:17:19, 18 March 2009 (UTC)
2068:Hi Point-set topologist,
1517:03:06, 20 June 2010 (UTC)
1500:13:33, 18 June 2010 (UTC)
1242:{\displaystyle b^{y}=x\,}
1036:may be more appropriate.
696:00:53, 10 July 2009 (UTC)
674:00:07, 10 July 2009 (UTC)
655:10:44, 17 June 2009 (UTC)
449:Constructive comments at
400:Derivation disambiguation
394:10:25, 8 March 2009 (UTC)
377:07:20, 7 March 2009 (UTC)
353:11:02, 6 March 2009 (UTC)
332:04:31, 6 March 2009 (UTC)
314:Cavalieri and Borsuk-Ulam
309:01:55, 4 March 2009 (UTC)
73:How did you come up with
1461:Special:OldReviewedPages
937:
784:JamesBWatson's talk page
1998:Global message delivery
1363:{\displaystyle b^{y}=x}
1949:
1937:New Page Patrol survey
1418:
1364:
1329:
1243:
1214:; then by definition,
1208:
1153:
780:
660:Sorry for the rudeness
365:Knowledge:Adopt-a-User
212:
2023:Arbitration Committee
1948:
1419:
1365:
1330:
1244:
1209:
1154:
1024:, which redirects to
779:
211:
1657:be a set containing
1376:
1341:
1294:
1218:
1168:
1111:
798:Regarding the revert
2027:arbitration process
1698:Open_set#Motivation
1465:Special:StablePages
1451:system is given in
857:tangent microbundle
198:Knowledge:Questions
2094:New Page Reviewers
2079:has been created.
2039:arbitration policy
1954:New page patrol â
1950:
1797:ring (mathematics)
1414:
1360:
1325:
1239:
1238:
1204:
1203:
1149:
944:Talk:mathematician
791:remove this notice
781:
270:Ring (mathematics)
213:
165:How to edit a page
148:your contributions
112:User:Michael Hardy
2077:New Page Reviewer
2006:
2005:
2001:
1956:Survey Invitation
1498:
1486:
616:Internet protocol
610:
593:comment added by
531:comment added by
243:
188:your messages on
108:User:Jitse Niesen
66:
65:
2114:
1991:
1941:
1912:
1907:
1872:
1867:
1849:
1844:
1829:
1824:
1783:
1780:
1778:
1717:
1712:
1603:
1602:
1599:
1598:
1590:
1554:
1553:
1550:
1549:
1541:
1514:
1509:
1488:
1476:
1423:
1421:
1420:
1415:
1407:
1406:
1393:
1392:
1369:
1367:
1366:
1361:
1353:
1352:
1334:
1332:
1331:
1326:
1312:
1311:
1248:
1246:
1245:
1240:
1230:
1229:
1213:
1211:
1210:
1205:
1186:
1185:
1158:
1156:
1155:
1150:
1142:
1141:
1128:
1127:
1047:
1046:
1043:
927:
922:
902:
885:
794:
745:
740:
693:
688:
627:
622:
609:
587:
556:
551:
543:
512:
507:
440:
435:
408:, you linked to
391:
386:
350:
345:
305:
304:
297:
256:
251:
235:
226:
225:
218:
203:
190:discussion pages
126:
125:
118:
105:
99:
75:this translation
61:
24:
16:
2122:
2121:
2117:
2116:
2115:
2113:
2112:
2111:
2066:
2047:the voting page
2013:
1959:
1939:
1910:
1905:
1870:
1865:
1847:
1842:
1827:
1822:
1793:
1776:
1774:
1771:
1767:
1715:
1710:
1596:
1595:
1592:
1584:
1581:
1563:
1561:Topology Axioms
1547:
1546:
1543:
1535:
1532:
1525:
1512:
1507:
1448:Pending changes
1444:
1384:
1379:
1374:
1373:
1344:
1339:
1338:
1303:
1292:
1291:
1221:
1216:
1215:
1177:
1166:
1165:
1119:
1114:
1109:
1108:
1092:
1057:
1044:
1041:
1040:
1016:
961:
940:
925:
920:
900:
883:
879:
800:
795:
788:
756:
743:
738:
704:
691:
686:
662:
642:
640:, and connected
639:
625:
620:
614:It stands for "
588:
584:
554:
549:
526:
523:
510:
505:
481:
464:Thanks. Eric.
454:
438:
433:
402:
389:
384:
361:
348:
343:
316:
302:
301:
295:
291:
266:
254:
249:
245:
223:
222:
216:
201:
175:Manual of Style
123:
122:
116:
103:
97:
94:
71:
62:
56:
29:
12:
11:
5:
2120:
2118:
2065:
2062:
2016:
2012:
2007:
2004:
2003:
1989:
1986:
1977:
1976:
1973:
1961:
1952:
1938:
1935:
1934:
1933:
1932:
1931:
1882:
1881:
1880:
1879:
1878:
1877:
1792:
1789:
1766:
1763:
1762:
1761:
1760:
1759:
1743:
1742:
1741:
1740:
1733:
1732:
1731:
1730:
1723:
1722:
1690:
1643:
1631:
1578:
1577:
1574:
1562:
1559:
1524:
1521:
1520:
1519:
1443:
1440:
1425:
1424:
1413:
1410:
1405:
1402:
1399:
1396:
1391:
1387:
1382:
1370:
1359:
1356:
1351:
1347:
1335:
1324:
1321:
1318:
1315:
1310:
1306:
1302:
1299:
1285:
1236:
1233:
1228:
1224:
1201:
1198:
1195:
1192:
1189:
1184:
1180:
1176:
1173:
1148:
1145:
1140:
1137:
1134:
1131:
1126:
1122:
1117:
1091:
1088:
1087:
1086:
1056:
1053:
1030:Triple product
1015:
1012:
960:
957:
939:
936:
935:
934:
933:
932:
913:
912:
901:SĹawomir BiaĹy
884:SĹawomir BiaĹy
878:
875:
874:
873:
872:
871:
861:71.182.244.158
849:
848:
847:
846:
840:
839:
813:173.75.158.194
808:
807:
799:
796:
787:
774:
755:
752:
751:
750:
723:SĹawomir BiaĹy
703:
700:
699:
698:
666:SĹawomir BiaĹy
661:
658:
641:
637:
634:
633:
632:
583:
580:
579:
578:
577:
576:
522:
519:
518:
517:
480:
477:
466:131.215.159.99
453:
447:
446:
445:
401:
398:
397:
396:
360:
357:
356:
355:
324:David Eppstein
315:
312:
290:
287:
265:
262:
234:
206:
178:
177:
172:
167:
162:
157:
93:
90:
70:
67:
64:
63:
58:
54:
52:
49:
48:
35:
34:
31:
30:
25:
19:
13:
10:
9:
6:
4:
3:
2:
2119:
2110:
2109:
2105:
2101:
2097:
2096:
2095:
2088:
2085:
2080:
2078:
2074:
2069:
2063:
2061:
2060:
2056:
2052:
2048:
2044:
2040:
2036:
2032:
2028:
2024:
2020:
2011:
2008:
2002:
1999:
1995:
1988:
1985:
1984:to take part.
1983:
1980:Please click
1974:
1971:
1970:
1969:
1966:
1960:
1958:
1957:
1947:
1943:
1942:
1936:
1930:
1926:
1922:
1918:
1917:
1916:
1913:
1908:
1902:
1898:
1897:
1896:
1895:
1891:
1887:
1876:
1873:
1868:
1862:
1859:
1855:
1854:
1853:
1850:
1845:
1839:
1835:
1834:
1833:
1830:
1825:
1818:
1817:
1816:
1815:
1811:
1807:
1803:
1800:
1798:
1790:
1788:
1787:
1784:
1782:
1764:
1758:
1754:
1750:
1747:
1746:
1745:
1744:
1737:
1736:
1735:
1734:
1727:
1726:
1725:
1724:
1721:
1718:
1713:
1707:
1703:
1699:
1695:
1691:
1688:
1684:
1680:
1676:
1672:
1668:
1664:
1660:
1656:
1652:
1648:
1644:
1640:
1636:
1632:
1629:
1625:
1621:
1617:
1613:
1609:
1608:
1607:
1606:
1600:
1591:
1589:
1588:
1575:
1572:
1571:
1570:
1568:
1560:
1558:
1557:
1551:
1542:
1540:
1539:
1530:
1522:
1518:
1515:
1510:
1504:
1503:
1502:
1501:
1496:
1492:
1484:
1480:
1472:
1468:
1466:
1462:
1456:
1454:
1449:
1441:
1439:
1438:
1434:
1430:
1411:
1408:
1400:
1394:
1389:
1385:
1380:
1371:
1357:
1354:
1349:
1345:
1336:
1319:
1313:
1308:
1304:
1300:
1297:
1289:
1288:
1287:
1283:
1282:
1278:
1274:
1269:
1268:
1264:
1260:
1255:
1252:
1249:
1234:
1231:
1226:
1222:
1199:
1196:
1190:
1182:
1178:
1174:
1171:
1162:
1159:
1146:
1143:
1135:
1129:
1124:
1120:
1115:
1106:
1105:
1101:
1097:
1090:Still Reading
1089:
1085:
1081:
1077:
1073:
1072:
1071:
1070:
1066:
1062:
1054:
1052:
1051:
1048:
1037:
1035:
1031:
1027:
1023:
1019:
1013:
1011:
1010:
1006:
1002:
996:
995:
992:
989:
983:
982:
978:
974:
970:
965:
958:
956:
955:
952:
949:
945:
931:
928:
923:
917:
916:
915:
914:
911:
907:
903:
897:
896:
895:
894:
890:
886:
876:
870:
866:
862:
858:
853:
852:
851:
850:
844:
843:
842:
841:
838:
834:
830:
825:
824:
823:
822:
818:
814:
805:
804:
803:
797:
792:
785:
778:
773:
772:
768:
764:
760:
753:
749:
746:
741:
735:
734:
733:
732:
728:
724:
720:
717:
714:
711:
708:
701:
697:
694:
689:
683:
678:
677:
676:
675:
671:
667:
659:
657:
656:
652:
648:
635:
631:
628:
623:
617:
613:
612:
611:
608:
604:
600:
596:
592:
581:
575:
571:
567:
562:
561:
560:
557:
552:
546:
545:
544:
542:
538:
534:
533:67.194.143.86
530:
520:
516:
513:
508:
501:
500:
499:
498:
494:
490:
486:
478:
476:
475:
471:
467:
462:
458:
452:
448:
444:
441:
436:
430:
429:
428:
427:
423:
419:
418:Michael Hardy
415:
411:
407:
399:
395:
392:
387:
381:
380:
379:
378:
374:
370:
366:
358:
354:
351:
346:
340:
336:
335:
334:
333:
329:
325:
321:
313:
311:
310:
306:
298:
288:
286:
285:
282:
277:
275:
271:
263:
261:
260:
257:
252:
244:
242:
240:
231:
227:
219:
210:
205:
199:
195:
191:
187:
183:
176:
173:
171:
168:
166:
163:
161:
158:
156:
153:
152:
151:
149:
145:
140:
139:
135:
132:
131:
127:
119:
113:
109:
102:
91:
89:
88:
84:
80:
76:
68:
51:
50:
47:
45:
41:
37:
36:
33:
32:
28:
23:
18:
17:
2093:
2092:
2089:
2083:
2081:
2076:
2070:
2067:
2014:
1990:
1979:
1978:
1962:
1955:
1953:
1951:
1921:Rick Norwood
1909:
1901:Rick Norwood
1886:Rick Norwood
1883:
1869:
1861:Rick Norwood
1857:
1846:
1826:
1806:Rick Norwood
1804:
1801:
1794:
1772:
1768:
1749:Rick Norwood
1714:
1702:MathOverflow
1686:
1682:
1678:
1674:
1670:
1666:
1662:
1658:
1654:
1650:
1646:
1638:
1634:
1627:
1623:
1619:
1615:
1611:
1587:Fly by Night
1586:
1585:
1579:
1566:
1564:
1538:Fly by Night
1537:
1536:
1526:
1511:
1473:
1469:
1457:
1445:
1426:
1284:
1270:
1256:
1253:
1250:
1163:
1161:I got this:
1160:
1107:
1093:
1058:
1038:
1026:Box topology
1020:
1017:
997:
984:
969:RD talk page
966:
962:
941:
938:I've replied
924:
880:
829:74.98.44.216
809:
801:
757:
742:
705:
690:
681:
663:
643:
636:Countable, T
624:
585:
553:
524:
509:
485:phoneme /oË/
482:
463:
459:
455:
437:
403:
388:
362:
347:
317:
296:siâây rabbit
292:
278:
267:
253:
246:
236:
217:siâây rabbit
214:
179:
141:
137:
136:
133:
117:siâây rabbit
95:
72:
38:
26:
1529:my question
1034:Box product
1022:Box product
1014:Box product
948:Paul August
682:much better
589:âPreceding
527:âPreceding
239:subst:Smile
192:using four
2035:topic bans
1994:NPP Survey
1838:Algebraist
1453:this image
1427:Thanks. --
410:derivation
337:How about
202:{{helpme}}
182:Wikipedian
44:/Archive 2
40:/Archive 1
2031:site bans
595:Negi(afk)
566:Negi(afk)
406:this edit
320:this edit
184:! Please
1765:Hi there
1694:open set
1653:and let
1429:33rogers
1273:33rogers
1259:33rogers
1164:Suppose
1096:33rogers
1001:Franamax
973:Franamax
789:You can
603:contribs
591:unsigned
529:unsigned
451:WP:RD/MA
230:WikiLove
160:Tutorial
138:Welcome!
27:Archives
2084:current
702:Rubbish
289:Replied
144:welcome
101:welcome
92:Welcome
2021:. The
281:Martin
194:tildes
79:Joeldl
1791:Rings
1055:Hello
991:Adler
877:Hello
754:Hallo
521:Group
2104:talk
2055:talk
1982:HERE
1925:talk
1890:talk
1810:talk
1753:talk
1597:talk
1548:talk
1495:talk
1483:talk
1433:talk
1277:talk
1263:talk
1100:talk
1080:talk
1076:Expz
1065:talk
1061:Expz
1018:Hi,
1005:talk
988:Hans
977:talk
906:talk
889:talk
865:talk
833:talk
817:talk
767:talk
727:talk
670:talk
651:talk
599:talk
570:talk
537:talk
493:talk
489:MozĂł
470:talk
422:talk
373:talk
341:? --
339:this
328:talk
303:talk
224:talk
186:sign
124:talk
83:talk
2015:Hi,
1965:WMF
1858:the
1618:of
1491:CBM
1479:CBM
1467:.
1386:log
1372:3.
1337:2.
1305:log
1290:1.
1121:log
1045:Pat
763:pma
647:pma
404:In
369:C S
2106:)
2057:)
2033:,
1996:.
1927:)
1906:PS
1892:)
1866:PS
1863:?
1843:PS
1823:PS
1812:)
1777:is
1755:)
1711:PS
1708:.
1582:â
1533:â
1508:PS
1493:¡
1481:¡
1435:)
1395:âĄ
1314:âĄ
1279:)
1265:)
1257:--
1130:âĄ
1102:)
1082:)
1067:)
1007:)
979:)
946:.
921:PS
908:)
891:)
867:)
835:)
819:)
769:)
739:PS
729:)
718:,
715:,
712:,
709:,
687:PS
672:)
653:)
645:--
621:PS
605:)
601:â˘
582:IP
572:)
550:PS
539:)
506:PS
495:)
472:)
434:PS
424:)
416:.
385:PS
375:)
344:PS
330:)
307:)
264:Hi
250:PS
128:)
104:}}
98:{{
85:)
77:?
46:.
42:.
2102:(
2053:(
1923:(
1911:T
1888:(
1871:T
1848:T
1828:T
1808:(
1781:n
1779:o
1775:l
1773:A
1751:(
1716:T
1687:X
1683:Y
1679:X
1675:Y
1671:Y
1667:X
1663:Y
1659:X
1655:Y
1651:X
1647:X
1639:X
1635:X
1628:X
1624:U
1620:X
1616:U
1612:X
1601:)
1593:(
1567:X
1552:)
1544:(
1513:T
1497:)
1489:(
1485:)
1477:(
1431:(
1412:x
1409:=
1404:)
1401:x
1398:(
1390:b
1381:b
1358:x
1355:=
1350:y
1346:b
1323:)
1320:x
1317:(
1309:b
1301:=
1298:y
1275:(
1261:(
1235:x
1232:=
1227:y
1223:b
1200:y
1197:=
1194:)
1191:x
1188:(
1183:b
1179:g
1175:o
1172:l
1147:x
1144:=
1139:)
1136:x
1133:(
1125:b
1116:b
1098:(
1078:(
1063:(
1042:S
1003:(
975:(
951:â
926:T
904:(
887:(
863:(
831:(
815:(
786:.
765:(
744:T
725:(
692:T
668:(
649:(
638:2
626:T
597:(
568:(
555:T
535:(
511:T
491:(
479:Ăł
468:(
439:T
420:(
390:T
371:(
349:T
326:(
299:(
255:T
220:(
120:(
81:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
