168:
174:
179:
62:
562:
220:– You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
33:
116:
The yellow region is a topological space X. The blue points are a 0-dimensional sphere in X. It cannot be shrunk continuously to a point in X; therefore; X has a hole with a 0-dimensional boundary.
73:
41:
507:
437:
401:
227:
491:
385:
357:
342:
329:
457:
421:
302:
285:
349:
593:
189:
561:
556:
226:– If you remix, transform, or build upon the material, you must distribute your contributions under the
32:
186:
81:
364:
572:
68:
161:
I, the copyright holder of this work, hereby publish it under the following license:
145:
125:
579:
Uploaded while editing "Hole (topology)" on en.wikipedia.org
529:
Click on a date/time to view the file as it appeared at that time.
56:
438:
Creative
Commons Attribution-ShareAlike 4.0 International
269:
Add a one-line explanation of what this file represents
100:
80:
Commons is a freely licensed media file repository.
46:(257 × 132 pixels, file size: 5 KB, MIME type:
237:https://creativecommons.org/licenses/by-sa/4.0
61:
365:https://commons.wikimedia.org/User:Erel_Segal
243:Creative Commons Attribution-Share Alike 4.0
167:
8:
203:– to copy, distribute and transmit the work
531:
265:
190:Attribution-Share Alike 4.0 International
591:
505:
489:
471:
455:
435:
419:
399:
383:
316:
300:
283:
280:
261:
254:
106:Hole with a 0-dimensional boundary.png
42:Hole_with_a_0-dimensional_boundary.png
7:
589:The following page uses this file:
520:
178:
173:
274:
268:
164:
160:
110:
93:
39:
273:
259:
214:Under the following conditions:
185:This file is licensed under the
177:
172:
166:
60:
21:
256:
111:
36:No higher resolution available.
14:
255:
26:
1:
508:original creation by uploader
281:Items portrayed in this file
610:
228:same or compatible license
521:
135:
16:
594:Homotopical connectivity
258:
194:
67:This is a file from the
578:
141:
131:
124:
121:
103:
71:. Information from its
74:description page there
209:– to adapt the work
343:Wikimedia username
330:author name string
582:
557:10:37, 1 May 2022
422:copyright license
267:
151:
150:
89:
88:
69:Wikimedia Commons
601:
569:
386:copyright status
367:
362:
352:
347:
337:
334:
250:
247:
244:
241:
238:
230:as the original.
187:Creative Commons
181:
180:
176:
175:
170:
169:
137:
127:
115:
107:
101:
85:
64:
63:
57:
51:
49:
609:
608:
604:
603:
602:
600:
599:
598:
583:
575:
567:
523:
522:
519:
518:
517:
516:
515:
514:
513:
512:
510:
498:
497:
496:
494:
483:
482:
481:
480:
479:
478:
477:
476:
474:
464:
463:
462:
460:
449:
448:
447:
446:
445:
444:
443:
442:
440:
428:
427:
426:
424:
413:
412:
411:
410:
409:
408:
407:
406:
404:
392:
391:
390:
388:
377:
376:
375:
374:
373:
372:
371:
370:
369:
368:
363:
360:
354:
353:
348:
345:
339:
338:
335:
332:
323:
322:
321:
319:
309:
308:
307:
305:
294:
293:
292:
291:
290:
288:
272:
271:
270:
253:
252:
251:
248:
245:
242:
239:
236:
235:
193:
182:
163:
162:
157:
152:
117:
105:
98:
91:
90:
79:
78:
77:is shown below.
53:
47:
45:
38:
37:
12:
11:
5:
607:
605:
597:
596:
587:
586:
581:
580:
577:
573:
570:
564:
559:
554:
550:
549:
546:
543:
540:
537:
534:
527:
526:
511:
506:
504:
503:
502:
501:
500:
499:
495:
492:source of file
490:
488:
487:
486:
485:
484:
475:
472:
470:
469:
468:
467:
466:
465:
461:
456:
454:
453:
452:
451:
450:
441:
436:
434:
433:
432:
431:
430:
429:
425:
420:
418:
417:
416:
415:
414:
405:
400:
398:
397:
396:
395:
394:
393:
389:
384:
382:
381:
380:
379:
378:
356:
355:
341:
340:
328:
327:
326:
325:
324:
320:
317:
315:
314:
313:
312:
311:
310:
306:
301:
299:
298:
297:
296:
295:
289:
284:
282:
279:
278:
277:
276:
275:
264:
263:
260:
257:
234:
233:
232:
231:
221:
212:
211:
210:
204:
197:You are free:
184:
183:
165:
159:
158:
156:
153:
149:
148:
143:
139:
138:
133:
129:
128:
123:
119:
118:
108:
99:
97:
94:
92:
87:
86:
65:
55:
54:
35:
31:
30:
29:
24:
19:
13:
10:
9:
6:
4:
3:
2:
606:
595:
592:
590:
584:
576:
571:
565:
563:
560:
558:
555:
552:
551:
547:
544:
541:
538:
535:
533:
532:
530:
524:
509:
493:
459:
439:
423:
403:
387:
366:
359:
351:
344:
331:
304:
287:
240:CC BY-SA 4.0
229:
225:
222:
219:
216:
215:
213:
208:
205:
202:
199:
198:
196:
195:
191:
188:
171:
154:
147:
144:
140:
134:
130:
120:
114:
109:
102:
95:
83:
76:
75:
70:
66:
59:
58:
52:
43:
34:
28:
25:
23:
20:
18:
15:
588:
528:
525:File history
223:
217:
206:
200:
112:
82:You can help
72:
40:
22:File history
402:copyrighted
224:share alike
218:attribution
104:Description
585:File usage
574:Erel Segal
566:257 × 132
542:Dimensions
473:1 May 2022
350:Erel Segal
336:Erel Segal
318:some value
146:Erel Segal
126:1 May 2022
27:File usage
539:Thumbnail
536:Date/Time
458:inception
155:Licensing
113:English:
48:image/png
262:Captions
207:to remix
201:to share
192:license.
136:Own work
553:current
548:Comment
303:creator
286:depicts
266:English
96:Summary
44:
568:(5 KB)
142:Author
132:Source
545:User
249:true
246:true
122:Date
17:File
358:URL
361::
346::
333::
84:.
50:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
