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Karol Borsuk

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onto itself; also 2-dimensional, contractible polyhedra which have no free edge. His topological and geometric conjectures and themes stimulated research for more than half a century; in particular, his open problems stimulated the
440:. The original game was lost during the Warsaw uprising in August 1944. Very few copies survived outside Warsaw and one was given back to the Borsuk family. The game is now published by Granna under the name of "Super Farmer". 252: 307: 327: 343: 299: 580: 319: 570: 347: 315: 303: 311: 295: 287: 335: 600: 477: 585: 530: 560: 575: 81: 545: 461: 222: 367: 437: 279: 235: 118: 535: 323: 175: 429: 114: 525: 185: 110: 595: 590: 565: 243: 8: 521: 480:
Foundations of geometry, Euclidean and Bolyai–Lobachevskian geometry, projective geometry
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Recipients of the Medal of the 10th Anniversary of the People's Republic of Poland
424: 203:(8 May 1905 – 24 January 1982) was a Polish mathematician. His main interest was 419: 383: 291: 165: 59: 554: 247: 231: 541: 457: 55: 30: 135: 433: 263: 204: 482:. By K. Borsuk and Wanda Szmielew. Revised English translation" 77: 51: 436:
published by Borsuk at his own expense in 1943 during the
271: 238:. He has constructed various beautiful examples of 519: 552: 207:, while he obtained significant results also in 472: 581:Academic staff of the University of Warsaw 29: 571:Members of the Polish Academy of Sciences 500: 282:from 1952. Borsuk's students include: 531:MacTutor History of Mathematics Archive 553: 270:in 1927 and 1930, respectively; his 360:Geometria analityczna w n wymiarach 234:cohomotopy groups. He also founded 13: 364:Multidimensional Analytic Geometry 14: 617: 513: 362:(1950) (translated to English as 242:, e.g. an acyclic, 3-dimensional 246:which admits a fixed point free 214:Borsuk introduced the theory of 16:Polish mathematician (1905–1982) 601:Prisoners of Dulag 121 PruszkĂłw 502:10.1090/s0002-9904-1961-10606-x 586:People from Warsaw Governorate 466: 451: 404:vol. I, (1983), PWN, Warszawa. 223:absolute neighborhood retracts 1: 546:Mathematics Genealogy Project 462:Mathematics Genealogy Project 444: 253:infinite-dimensional topology 561:Warsaw School of Mathematics 368:Polish Scientific Publishers 7: 576:University of Warsaw alumni 438:German occupation of Warsaw 408: 10: 622: 280:Polish Academy of Sciences 386:, North Holland publisher 278:. He was a member of the 194: 153: 141: 131: 124: 106: 96: 88: 66: 37: 28: 21: 536:University of St Andrews 353: 380:Foundations of Geometry 308:WĹ‚odzimierz HolsztyĹ„ski 392:(1967), PWN, Warszawa. 230:, later called Borsuk– 186:Krzysztof Edward Haman 119:Bing–Borsuk conjecture 489:Bull. Amer. Math. Soc 324:WĹ‚odzimierz Kuperberg 176:WĹ‚odzimierz Kuperberg 522:Robertson, Edmund F. 258:Borsuk received his 520:O'Connor, John J.; 415:Zygmunt Janiszewski 276:Stefan Mazurkiewicz 274:thesis advisor was 209:functional analysis 148:Stefan Mazurkiewicz 115:Borsuk–Ulam theorem 111:Borsuk's conjecture 390:Theory of Retracts 374:Podstawy geometrii 332:Krystyna Kuperberg 240:topological spaces 171:Krystyna Kuperberg 432:, an educational 320:Andrzej Jankowski 268:Warsaw University 228:cohomotopy groups 217:absolute retracts 198: 197: 126:Scientific career 101:Warsaw University 613: 538: 507: 506: 504: 486: 470: 464: 455: 430:Animal Husbandry 402:Collected papers 340:Andrzej Trybulec 284:Samuel Eilenberg 226:(ANRs), and the 181:Andrzej Trybulec 161:Samuel Eilenberg 154:Notable students 143:Doctoral advisor 73: 47: 45: 33: 19: 18: 621: 620: 616: 615: 614: 612: 611: 610: 551: 550: 516: 511: 510: 484: 474:Freudenthal, H. 471: 467: 456: 452: 447: 411: 396:Theory of Shape 356: 348:Alfred Surzycki 344:Marian OrĹ‚owski 328:StanisĹ‚aw SpieĹĽ 316:Hanna Patkowska 304:Karol Sieklucki 300:Antoni KosiĹ„ski 260:master's degree 190: 117: 113: 97:Alma mater 84: 75: 71: 70:24 January 1982 62: 49: 43: 41: 24: 17: 12: 11: 5: 619: 609: 608: 603: 598: 593: 588: 583: 578: 573: 568: 563: 549: 548: 539: 526:"Karol Borsuk" 515: 514:External links 512: 509: 508: 495:(4): 342–344. 465: 449: 448: 446: 443: 442: 441: 427: 422: 420:Stanislaw Ulam 417: 410: 407: 406: 405: 399: 393: 387: 384:Wanda Szmielew 377: 371: 355: 352: 296:Andrzej Granas 292:Jan Jaworowski 288:Andrzej Kirkor 196: 195: 192: 191: 189: 188: 183: 178: 173: 168: 166:Jan Jaworowski 163: 157: 155: 151: 150: 145: 139: 138: 133: 129: 128: 122: 121: 108: 107:Known for 104: 103: 98: 94: 93: 90: 86: 85: 76: 74:(aged 76) 68: 64: 63: 60:Russian Empire 50: 39: 35: 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 618: 607: 604: 602: 599: 597: 594: 592: 589: 587: 584: 582: 579: 577: 574: 572: 569: 567: 564: 562: 559: 558: 556: 547: 543: 540: 537: 533: 532: 527: 523: 518: 517: 503: 498: 494: 490: 483: 481: 475: 469: 463: 459: 454: 450: 439: 435: 431: 428: 426: 425:Scottish CafĂ© 423: 421: 418: 416: 413: 412: 403: 400: 397: 394: 391: 388: 385: 381: 378: 375: 372: 369: 365: 361: 358: 357: 351: 349: 345: 341: 337: 333: 329: 325: 321: 317: 313: 309: 305: 301: 297: 293: 289: 285: 281: 277: 273: 269: 265: 261: 256: 254: 249: 248:homeomorphism 245: 241: 237: 233: 229: 225: 224: 219: 218: 212: 210: 206: 202: 193: 187: 184: 182: 179: 177: 174: 172: 169: 167: 164: 162: 159: 158: 156: 152: 149: 146: 144: 140: 137: 134: 130: 127: 123: 120: 116: 112: 109: 105: 102: 99: 95: 91: 87: 83: 79: 69: 65: 61: 57: 53: 40: 36: 32: 27: 20: 542:Karol Borsuk 529: 492: 488: 479: 468: 458:Karol Borsuk 453: 401: 395: 389: 382:(1960) with 379: 373: 363: 359: 312:RafaĹ‚ Molski 257: 236:shape theory 221: 215: 213: 201:Karol Borsuk 200: 199: 125: 72:(1982-01-24) 56:Vistula Land 23:Karol Borsuk 596:1982 deaths 591:1905 births 566:Topologists 336:Jerzy Dydak 136:Mathematics 89:Nationality 555:Categories 445:References 220:(ARs) and 48:8 May 1905 44:1905-05-08 478:"Review: 434:dice game 264:doctorate 244:continuum 476:(1961). 409:See also 205:topology 544:at the 460:at the 370:, 1969) 232:Spanier 398:(1975) 376:(1955) 132:Fields 92:Polish 82:Poland 78:Warsaw 52:Warsaw 485:(PDF) 354:Works 266:from 262:and 67:Died 38:Born 497:doi 272:PhD 557:: 534:, 528:, 524:, 493:67 491:. 487:. 366:, 350:. 346:, 342:, 338:, 334:, 330:, 326:, 322:, 318:, 314:, 310:, 306:, 302:, 298:, 294:, 290:, 286:, 255:. 211:. 80:, 58:, 54:, 505:. 499:: 46:) 42:(

Index


Warsaw
Vistula Land
Russian Empire
Warsaw
Poland
Warsaw University
Borsuk's conjecture
Borsuk–Ulam theorem
Bing–Borsuk conjecture
Mathematics
Doctoral advisor
Stefan Mazurkiewicz
Samuel Eilenberg
Jan Jaworowski
Krystyna Kuperberg
WĹ‚odzimierz Kuperberg
Andrzej Trybulec
Krzysztof Edward Haman
topology
functional analysis
absolute retracts
absolute neighborhood retracts
cohomotopy groups
Spanier
shape theory
topological spaces
continuum
homeomorphism
infinite-dimensional topology

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