Knowledge

File:P1S2all.jpg

Source 📝

441: 266: 392: 447: 272: 87: 277: 43: 1233: 904: 871: 1228: 934: 841: 951:{{Information |Description=La bildo estas kopiita de wikipedia:en. La originala priskribo estas: == Summary == Image showing a homotopy of a circle around a sphere can be reduced to a singe point. Created using , [http:/ 1223: 500:– 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. 341:– 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. 1278: 549:
La bildo estas kopiita de wikipedia:en. La originala priskribo estas: == Summary == Image showing a homotopy of a circle around a sphere can be reduced to a singe point. Created using ,
1053: 1288: 1000: 1148: 1143: 1283: 1010: 995: 990: 985: 409: 1088: 1048: 1005: 1015: 407:; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled 399: 718: 701: 684: 648: 1392: 1218: 580:
Image showing a homotopy of a circle around a sphere can be reduced to a singe point. Created using , and Gimp. Created by ]
1403:
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
414: 348: 290: 1128: 772: 632: 404: 1273: 738: 668: 615: 970: 1268: 1123: 286: 1406:
If the file has been modified from its original state, some details may not fully reflect the modified file.
1368: 944: 980: 975: 457: 347:– If you remix, transform, or build upon the material, you must distribute your contributions under the 933: 928: 903: 898: 888:(BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2006-11-19 17:47:32 by 870: 865: 454: 283: 53: 47: 1193: 465: 303: 250: 1133: 98: 106: 66: 1188: 965: 386: 575: 568: 397:
Permission is granted to copy, distribute and/or modify this document under the terms of the
362: 234: 914: 195:
Image showing that a circle around a sphere can be reduced to a single point via a homotopy.
1383: 889: 1318: 544: 391: 1078: 257:, the copyright holder of this work, hereby publishes it under the following licenses: 93: 1313: 881: 851: 1178: 1378: 1358: 1298: 1038: 840: 835: 57: 42: 1183: 1208: 536: 1348: 1338: 1258: 1173: 1063: 120: 1303: 1129:
Kurs:Funktionentheorie (Osnabrück 2023-2024)/Arbeitsblatt 20/kontrolle
1098: 1073: 1248: 1328: 1243: 1113: 1033: 808:
Click on a date/time to view the file as it appeared at that time.
1168: 1103: 126: 1158: 921:
Higher resolution, from https://en.wikipedia.org/File:P1S2all.jpg
469: 307: 254: 119: 1343: 361:
This licensing tag was added to this file as part of the GFDL
260: 162: 152: 81: 1203: 1124:
Kurs:Funktionentheorie (Osnabrück 2023-2024)/Arbeitsblatt 20
213: 217: 1323: 858:(BOT): Reverting to most recent version before archival 560: 599:
A circle on a sphere can be reduced to a single point
719:
Creative Commons Attribution-ShareAlike 3.0 Unported
685:
GNU Free Documentation License, version 1.2 or later
403:, Version 1.2 or any later version published by the 179: 105:
Commons is a freely licensed media file repository.
71:(1,580 × 309 pixels, file size: 74 KB, MIME type: 563:. All following user names refer to en.wikipedia. 539:. All following user names refer to eo.wikipedia. 1001:User:MarkH21/Infobox mathematical statement/doc 368:http://creativecommons.org/licenses/by-sa/3.0/ 86: 1194:Plantilla:Ficha de declaración matemática/doc 440: 265: 8: 374:Creative Commons Attribution-Share Alike 3.0 222: 1054:টেমপ্লেট:Infobox mathematical statement/নথি 1011:Template:Infobox mathematical statement/doc 996:User:MarkH21/Infobox mathematical statement 991:User:Denis.arnaud/Books/Poincare Conjecture 986:Talk:Homotopy groups of spheres/Definitions 507:https://creativecommons.org/licenses/by/2.5 483:– to copy, distribute and transmit the work 324:– to copy, distribute and transmit the work 1408: 1319:Templat:Infobox mathematical statement/doc 1134:Sphäre/Äquator und Nordpol/Homotop/Aufgabe 810: 595: 525:You may select the license of your choice. 1189:Plantilla:Ficha de declaración matemática 1026:The following other wikis use this file: 555:Original upload log (en:File:P1S2all.jpg) 531:Original upload log (eo:File:P1S2all.jpg) 167:Original upload log (en:File:P1S2all.jpg) 157:Original upload log (eo:File:P1S2all.jpg) 1234:الگو:جعبه اطلاعات گزاره ریاضیاتی/توضیحات 702:Creative Commons Attribution 2.5 Generic 1410: 1049:টেমপ্লেট:Infobox mathematical statement 1006:Template:Infobox mathematical statement 963: 786: 770: 752: 736: 716: 699: 682: 666: 646: 630: 613: 610: 591: 584: 204:19 February 2007 (original upload date) 1314:Templat:Infobox mathematical statement 1229:الگو:جعبه اطلاعات حکم ریاضیاتی/توضیحات 1016:Portal:Mathematics/Selected article/30 961:The following 11 pages use this file: 7: 419:http://www.gnu.org/copyleft/fdl.html 287:Attribution-Share Alike 3.0 Unported 799: 446: 276: 271: 1401: 604: 598: 559:The original description page was 558: 535:The original description page was 534: 524: 474: 437: 249: 189: 121: 118: 64: 1359:Il cubo e la sfera (scuola media) 603: 513:Creative Commons Attribution 2.5 1224:الگو:جعبه اطلاعات گزاره ریاضیاتی 1179:Portal:Matemática/Imagen archivo 589: 494:Under the following conditions: 453:This file is licensed under the 445: 439: 390: 335:Under the following conditions: 282:This file is licensed under the 275: 270: 264: 85: 31: 21: 586: 190: 14: 1209:Lankide:Anazj/Oinarrizko talde 585: 425:GNU Free Documentation License 410:GNU Free Documentation License 400:GNU Free Documentation License 142: 26: 1: 1349:Spazio semplicemente connesso 36: 1355:Usage on it.wikiversity.org 1279:פורטל:מתמטיקה/מאמר נבחר/אוסף 1120:Usage on de.wikiversity.org 611:Items portrayed in this file 132: 1174:Conjunto simplemente conexo 1030:Usage on ast.wikipedia.org 220:and Gimp. Transferred from 1432: 1375:Usage on ko.wikipedia.org 1365:Usage on ja.wikipedia.org 1335:Usage on it.wikipedia.org 1310:Usage on id.wikipedia.org 1295:Usage on hu.wikipedia.org 1289:פורטל:מתמטיקה/מאמר נבחר/24 1265:Usage on he.wikipedia.org 1255:Usage on gl.wikipedia.org 1240:Usage on fi.wikipedia.org 1215:Usage on fa.wikipedia.org 1200:Usage on eu.wikipedia.org 1165:Usage on es.wikipedia.org 1155:Usage on eo.wikipedia.org 1140:Usage on el.wikipedia.org 1110:Usage on de.wikipedia.org 1095:Usage on da.wikipedia.org 1085:Usage on cv.wikipedia.org 1079:Jednoduše souvislá množina 1070:Usage on cs.wikipedia.org 1060:Usage on ca.wikipedia.org 1045:Usage on bn.wikipedia.org 971:Homotopy groups of spheres 349:same or compatible license 800: 547:1580×309×8 (75354 bytes) 295: 263: 16: 588: 578:1259×314× (62047 bytes) 405:Free Software Foundation 92:This is a file from the 950: 920: 899:00:19, 15 February 2015 887: 866:15:42, 15 February 2015 857: 836:15:42, 15 February 2015 571:1580×309× (75354 bytes) 458:Attribution 2.5 Generic 230: 208: 203: 200: 182: 96:. Information from its 1339:Congettura di Poincaré 1299:A matematika története 1259:Conxectura de Poincaré 1064:Conjectura de Poincaré 981:Simply connected space 99:description page there 46:Size of this preview: 1415:Created with The GIMP 1184:Hipótesis de Poincaré 1149:Απλά συνεκτικός χώρος 1144:Εικασία του Πουανκαρέ 1104:Millenniumproblemerne 1039:Hipótesis de Poincaré 1284:פורטל:מתמטיקה/בדיקות 1159:Simple koneksa spaco 1099:Poincaréformodningen 929:03:12, 20 April 2007 289:license. Subject to 1344:Gruppo fondamentale 1249:Yhdesti yhtenäisyys 1089:Пĕр çыхăнуллă уçлăх 976:Poincaré conjecture 489:– to adapt the work 330:– to adapt the work 52:Other resolutions: 1329:Konjektur Poincaré 1244:Poincarén otaksuma 1114:Poincaré-Vermutung 58:1,580 × 309 pixels 1419: 1418: 1412:JPEG file comment 1393:more global usage 1022:Global file usage 966:Fundamental group 954: 946:Matanya (usurped) 669:copyright license 597: 574:2006-11-19 17:47 567:2006-11-19 20:47 543:2007-02-19 04:44 470:English Knowledge 436: 435: 385: 384: 308:English Knowledge 255:English Knowledge 240: 239: 127: 114: 113: 94:Wikimedia Commons 32:Global file usage 1423: 1409: 1204:Oinarrizko talde 1169:Grigori Perelmán 1034:Grigori Perelmán 941: 911: 878: 848: 754:19 February 2007 633:copyright status 520: 517: 514: 511: 508: 472: 455:Creative Commons 449: 448: 443: 442: 432: 429: 426: 423: 420: 394: 387: 381: 378: 375: 372: 369: 366: 363:licensing update 351:as the original. 310: 284:Creative Commons 279: 278: 274: 273: 268: 267: 261: 225: 194: 186: 180: 168: 165: 158: 155: 148: 145: 138: 135: 128: 110: 89: 88: 82: 76: 74: 61: 48:798 × 156 pixels 1431: 1430: 1426: 1425: 1424: 1422: 1421: 1420: 1397: 1304:Poincaré-sejtés 1219:فضای همبند ساده 1074:Poincarého věta 1020: 955: 947: 939: 917: 909: 884: 876: 854: 846: 802: 801: 798: 797: 796: 795: 794: 793: 792: 791: 789: 779: 778: 777: 775: 764: 763: 762: 761: 760: 759: 758: 757: 755: 745: 744: 743: 741: 730: 729: 728: 727: 726: 725: 724: 723: 721: 710: 709: 708: 707: 706: 704: 693: 692: 691: 690: 689: 687: 675: 674: 673: 671: 660: 659: 658: 657: 656: 655: 654: 653: 651: 639: 638: 637: 635: 624: 623: 622: 621: 620: 618: 602: 601: 600: 564: 557: 540: 533: 528: 527: 526: 522: 521: 518: 515: 512: 509: 506: 505: 473: 464: 461: 450: 430: 427: 424: 421: 418: 379: 376: 373: 370: 367: 360: 302: 259: 258: 246: 241: 221: 196: 184: 177: 172: 166: 163: 156: 153: 146: 143: 136: 133: 129: 125: 116: 115: 104: 103: 102:is shown below. 78: 72: 70: 63: 62: 54:320 × 63 pixels 51: 12: 11: 5: 1429: 1427: 1417: 1416: 1413: 1400: 1395:of this file. 1389: 1388: 1387: 1386: 1381: 1373: 1372: 1371: 1363: 1362: 1361: 1353: 1352: 1351: 1346: 1341: 1333: 1332: 1331: 1326: 1321: 1316: 1308: 1307: 1306: 1301: 1293: 1292: 1291: 1286: 1281: 1276: 1271: 1263: 1262: 1261: 1253: 1252: 1251: 1246: 1238: 1237: 1236: 1231: 1226: 1221: 1213: 1212: 1211: 1206: 1198: 1197: 1196: 1191: 1186: 1181: 1176: 1171: 1163: 1162: 1161: 1153: 1152: 1151: 1146: 1138: 1137: 1136: 1131: 1126: 1118: 1117: 1116: 1108: 1107: 1106: 1101: 1093: 1092: 1091: 1083: 1082: 1081: 1076: 1068: 1067: 1066: 1058: 1057: 1056: 1051: 1043: 1042: 1041: 1036: 1024: 1023: 1019: 1018: 1013: 1008: 1003: 998: 993: 988: 983: 978: 973: 968: 959: 958: 953: 952: 949: 945: 942: 936: 931: 926: 923: 922: 919: 915: 912: 906: 901: 896: 893: 892: 886: 882: 879: 873: 868: 863: 860: 859: 856: 852: 849: 843: 838: 833: 829: 828: 825: 822: 819: 816: 813: 806: 805: 790: 787: 785: 784: 783: 782: 781: 780: 776: 771: 769: 768: 767: 766: 765: 756: 753: 751: 750: 749: 748: 747: 746: 742: 737: 735: 734: 733: 732: 731: 722: 717: 715: 714: 713: 712: 711: 705: 700: 698: 697: 696: 695: 694: 688: 683: 681: 680: 679: 678: 677: 676: 672: 667: 665: 664: 663: 662: 661: 652: 647: 645: 644: 643: 642: 641: 640: 636: 631: 629: 628: 627: 626: 625: 619: 614: 612: 609: 608: 607: 606: 605: 594: 593: 590: 587: 583: 582: 572: 556: 553: 552: 551: 532: 529: 523: 504: 503: 502: 501: 492: 491: 490: 484: 477:You are free: 462: 452: 451: 438: 434: 433: 395: 383: 382: 357: 356: 355: 354: 353: 352: 342: 333: 332: 331: 325: 318:You are free: 313: 312: 297: 296: 294: 280: 248: 247: 245: 242: 238: 237: 232: 228: 227: 212:Created using 210: 206: 205: 202: 198: 197: 187: 178: 176: 173: 171: 170: 160: 150: 140: 124: 117: 112: 111: 90: 80: 79: 45: 41: 40: 39: 34: 29: 24: 19: 13: 10: 9: 6: 4: 3: 2: 1428: 1414: 1411: 1407: 1404: 1398: 1396: 1394: 1385: 1382: 1380: 1377: 1376: 1374: 1370: 1367: 1366: 1364: 1360: 1357: 1356: 1354: 1350: 1347: 1345: 1342: 1340: 1337: 1336: 1334: 1330: 1327: 1325: 1322: 1320: 1317: 1315: 1312: 1311: 1309: 1305: 1302: 1300: 1297: 1296: 1294: 1290: 1287: 1285: 1282: 1280: 1277: 1275: 1274:השערת פואנקרה 1272: 1270: 1269:מרחב פשוט קשר 1267: 1266: 1264: 1260: 1257: 1256: 1254: 1250: 1247: 1245: 1242: 1241: 1239: 1235: 1232: 1230: 1227: 1225: 1222: 1220: 1217: 1216: 1214: 1210: 1207: 1205: 1202: 1201: 1199: 1195: 1192: 1190: 1187: 1185: 1182: 1180: 1177: 1175: 1172: 1170: 1167: 1166: 1164: 1160: 1157: 1156: 1154: 1150: 1147: 1145: 1142: 1141: 1139: 1135: 1132: 1130: 1127: 1125: 1122: 1121: 1119: 1115: 1112: 1111: 1109: 1105: 1102: 1100: 1097: 1096: 1094: 1090: 1087: 1086: 1084: 1080: 1077: 1075: 1072: 1071: 1069: 1065: 1062: 1061: 1059: 1055: 1052: 1050: 1047: 1046: 1044: 1040: 1037: 1035: 1032: 1031: 1029: 1028: 1027: 1021: 1017: 1014: 1012: 1009: 1007: 1004: 1002: 999: 997: 994: 992: 989: 987: 984: 982: 979: 977: 974: 972: 969: 967: 964: 962: 956: 948: 943: 937: 935: 932: 930: 927: 925: 924: 918: 913: 907: 905: 902: 900: 897: 895: 894: 891: 885: 880: 874: 872: 869: 867: 864: 862: 861: 855: 850: 844: 842: 839: 837: 834: 831: 830: 826: 823: 820: 817: 814: 812: 811: 809: 803: 774: 740: 720: 703: 686: 670: 650: 634: 617: 581: 577: 573: 570: 566: 565: 562: 554: 550: 546: 542: 541: 538: 530: 499: 496: 495: 493: 488: 485: 482: 479: 478: 476: 475: 471: 467: 463:Attribution: 459: 456: 444: 416: 413:. Subject to 412: 411: 406: 402: 401: 396: 393: 389: 388: 364: 359: 358: 350: 346: 343: 340: 337: 336: 334: 329: 326: 323: 320: 319: 317: 316: 315: 314: 311: 309: 305: 301:Attribution: 299: 298: 292: 288: 285: 281: 269: 262: 256: 252: 243: 236: 233: 229: 224: 219: 215: 211: 207: 199: 193: 188: 181: 174: 169: 161: 159: 151: 149: 141: 139: 131: 130: 122: 108: 101: 100: 95: 91: 84: 83: 77: 68: 67:Original file 59: 55: 49: 44: 38: 35: 33: 30: 28: 25: 23: 20: 18: 15: 1405: 1402: 1390: 1025: 960: 908:1,580 × 309 875:1,259 × 314 845:1,580 × 309 807: 804:File history 579: 548: 497: 486: 480: 408: 398: 371:CC BY-SA 3.0 344: 338: 327: 321: 300: 223:eo.wikipedia 191: 107:You can help 97: 65: 22:File history 916:Mx. Granger 649:copyrighted 498:attribution 415:disclaimers 345:share alike 339:attribution 291:disclaimers 226:to Commons. 185:P1S2all.jpg 183:Description 1324:Grup dasar 957:File usage 938:800 × 156 890:Salix alba 821:Dimensions 788:image/jpeg 773:media type 576:Salix alba 569:Salix alba 545:Maksim-bot 510:CC BY 2.5 466:Salix alba 304:Salix alba 251:Salix alba 235:Salix alba 73:image/jpeg 27:File usage 818:Thumbnail 815:Date/Time 739:inception 244:Licensing 192:English: 147:Licensing 1399:Metadata 592:Captions 487:to remix 481:to share 460:license. 328:to remix 322:to share 218:JavaView 214:SingSurf 123:Contents 37:Metadata 1369:ポアンカレ予想 940:(20 KB) 910:(74 KB) 883:OgreBot 877:(61 KB) 853:OgreBot 847:(74 KB) 832:current 827:Comment 616:depicts 596:English 175:Summary 137:Summary 69:‎ 1384:호모토피 군 231:Author 209:Source 1391:View 1379:호모토피 824:User 561:here 537:here 519:true 516:true 431:true 428:true 422:GFDL 380:true 377:true 201:Date 17:File 468:at 306:at 253:at 293:. 216:, 56:| 50:. 417:. 365:. 164:4 154:3 144:2 134:1 109:. 75:) 60:.

Index

File
File history
File usage
Global file usage
Metadata
File:P1S2all.jpg
798 × 156 pixels
320 × 63 pixels
1,580 × 309 pixels
Original file
Wikimedia Commons
description page there
You can help
1 Summary
2 Licensing
3 Original upload log (eo:File:P1S2all.jpg)
4 Original upload log (en:File:P1S2all.jpg)
SingSurf
JavaView
eo.wikipedia
Salix alba
Salix alba
English Knowledge
Creative Commons
Attribution-Share Alike 3.0 Unported
disclaimers
Salix alba
English Knowledge
same or compatible license
licensing update

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.