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Thomas Jech

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Jech gave the first published proof of the consistency of the existence of a
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Lectures in set theory, with particular emphasis on the method of forcing
968: 739: 402: 52: 48: 771: 734: 685: 583: 100: 96: 92: 356: 352: 796: 618: 40: 668: 435: 371: 72: 239:: The Third Millennium Edition, revised and expanded 266: 1026: 241:, 2006, Springer Science & Business Media, 173:, Springer-Verlag Lecture Notes in Mathematics 309: 191:, North-Holland 1973 (Dover paperback edition 387: 151:"Non-provability of Souslin's hypothesis", 394: 380: 333: 294: 77:Academy of Sciences of the Czech Republic 249:. 1st ed. 1978; 2nd (corrected) ed. 1997 1027: 375: 34: 224:, Cambridge University Press 1986 ( 210:, Marcel Dekker, 3rd edition 1999 ( 122:. He gave several models where the 13: 14: 1076: 1050:21st-century Czech mathematicians 1045:20th-century Czech mathematicians 346: 425: 335:10.1090/S0273-0979-1980-14818-1 296:10.1090/s0273-0979-1989-15716-9 144: 401: 303: 260: 153:Comment. Math. Univ. Carolinae 126:failed, for example one with ω 118:, he introduced the notion of 87:Jech's research also includes 1: 367:Mathematics Genealogy Project 326:Bull. Amer. Math. Soc. (N.S.) 283:Bull. Amer. Math. Soc. (N.S.) 253: 7: 1060:Czechoslovak mathematicians 10: 1081: 885:von Neumann–Bernays–Gödel 328:. 3, Part 1 (1): 775–777. 208:Introduction to set theory 71:) and from 2000 is at the 39:; born 29 January 1944 in 1065:Charles University alumni 949: 912: 824: 714: 686:One-to-one correspondence 602: 543: 434: 423: 409: 73:Institute of Mathematics 55:for more than 25 years. 137:is named after him and 82: 58: 644:Constructible universe 471:Constructibility (V=L) 27: 867:Principia Mathematica 701:Transfinite induction 560:(i.e. set difference) 36:[ˈtomaːʃˈjɛx] 941:Burali-Forti paradox 696:Set-builder notation 649:Continuum hypothesis 589:Symmetric difference 902:Tarski–Grothendieck 189:The axiom of choice 133:. The concept of a 63:He was educated at 16:Czech mathematician 491:Limitation of size 268:Baumgartner, James 89:mathematical logic 65:Charles University 1022: 1021: 931:Russell's paradox 880:Zermelo–Fraenkel 781:Dedekind-infinite 654:Diagonal argument 553:Cartesian product 417:Set (mathematics) 355:, with a copy at 197:978-0-486-46624-8 159:: 291–305, 1967, 120:precipitous ideal 67:(his advisor was 1072: 1004:Bertrand Russell 994:John von Neumann 979:Abraham Fraenkel 974:Richard Dedekind 936:Suslin's problem 847:Cantor's theorem 564:De Morgan's laws 429: 396: 389: 382: 373: 372: 340: 339: 337: 323: 307: 301: 300: 298: 280: 274:Multiple forcing 264: 222:Multiple forcing 167: 47:specializing in 38: 33: 1080: 1079: 1075: 1074: 1073: 1071: 1070: 1069: 1025: 1024: 1023: 1018: 945: 924: 908: 873:New Foundations 820: 710: 629:Cardinal number 612: 598: 539: 430: 421: 405: 400: 349: 344: 343: 321: 319:by Thomas Jech" 308: 304: 278: 276:by Thomas Jech" 265: 261: 256: 150: 147: 135:Jech–Kunen tree 129: 124:axiom of choice 85: 61: 31: 17: 12: 11: 5: 1078: 1068: 1067: 1062: 1057: 1052: 1047: 1042: 1037: 1020: 1019: 1017: 1016: 1011: 1009:Thoralf Skolem 1006: 1001: 996: 991: 986: 981: 976: 971: 966: 961: 955: 953: 947: 946: 944: 943: 938: 933: 927: 925: 923: 922: 919: 913: 910: 909: 907: 906: 905: 904: 899: 894: 893: 892: 877: 876: 875: 863: 862: 861: 850: 849: 844: 839: 834: 828: 826: 822: 821: 819: 818: 813: 808: 803: 794: 789: 784: 774: 769: 768: 767: 762: 757: 747: 737: 732: 727: 721: 719: 712: 711: 709: 708: 703: 698: 693: 691:Ordinal number 688: 683: 678: 673: 672: 671: 666: 656: 651: 646: 641: 636: 626: 621: 615: 613: 611: 610: 607: 603: 600: 599: 597: 596: 591: 586: 581: 576: 571: 569:Disjoint union 566: 561: 555: 549: 547: 541: 540: 538: 537: 536: 535: 530: 519: 518: 516:Martin's axiom 513: 508: 503: 498: 493: 488: 483: 481:Extensionality 478: 473: 468: 467: 466: 461: 456: 446: 440: 438: 432: 431: 424: 422: 420: 419: 413: 411: 407: 406: 399: 398: 391: 384: 376: 370: 369: 360: 348: 347:External links 345: 342: 341: 311:Kunen, Kenneth 302: 289:(1): 103–107. 258: 257: 255: 252: 251: 250: 233: 230:978-0521266598 219: 216:978-0824779153 200: 186: 183:978-3540055648 168: 146: 143: 127: 105:measure theory 84: 81: 60: 57: 20:Thomas J. Jech 15: 9: 6: 4: 3: 2: 1077: 1066: 1063: 1061: 1058: 1056: 1055:Set theorists 1053: 1051: 1048: 1046: 1043: 1041: 1040:Living people 1038: 1036: 1033: 1032: 1030: 1015: 1014:Ernst Zermelo 1012: 1010: 1007: 1005: 1002: 1000: 999:Willard Quine 997: 995: 992: 990: 987: 985: 982: 980: 977: 975: 972: 970: 967: 965: 962: 960: 957: 956: 954: 952: 951:Set theorists 948: 942: 939: 937: 934: 932: 929: 928: 926: 920: 918: 915: 914: 911: 903: 900: 898: 897:Kripke–Platek 895: 891: 888: 887: 886: 883: 882: 881: 878: 874: 871: 870: 869: 868: 864: 860: 857: 856: 855: 852: 851: 848: 845: 843: 840: 838: 835: 833: 830: 829: 827: 823: 817: 814: 812: 809: 807: 804: 802: 800: 795: 793: 790: 788: 785: 782: 778: 775: 773: 770: 766: 763: 761: 758: 756: 753: 752: 751: 748: 745: 741: 738: 736: 733: 731: 728: 726: 723: 722: 720: 717: 713: 707: 704: 702: 699: 697: 694: 692: 689: 687: 684: 682: 679: 677: 674: 670: 667: 665: 662: 661: 660: 657: 655: 652: 650: 647: 645: 642: 640: 637: 634: 630: 627: 625: 622: 620: 617: 616: 614: 608: 605: 604: 601: 595: 592: 590: 587: 585: 582: 580: 577: 575: 572: 570: 567: 565: 562: 559: 556: 554: 551: 550: 548: 546: 542: 534: 533:specification 531: 529: 526: 525: 524: 521: 520: 517: 514: 512: 509: 507: 504: 502: 499: 497: 494: 492: 489: 487: 484: 482: 479: 477: 474: 472: 469: 465: 462: 460: 457: 455: 452: 451: 450: 447: 445: 442: 441: 439: 437: 433: 428: 418: 415: 414: 412: 408: 404: 397: 392: 390: 385: 383: 378: 377: 374: 368: 364: 361: 358: 354: 351: 350: 336: 331: 327: 320: 318: 312: 306: 297: 292: 288: 284: 277: 275: 269: 263: 259: 248: 247:3-540-44085-2 244: 240: 238: 234: 231: 227: 223: 220: 217: 213: 209: 205: 201: 198: 194: 190: 187: 184: 180: 176: 172: 169: 166: 162: 158: 154: 149: 148: 142: 140: 139:Kenneth Kunen 136: 132: 125: 121: 117: 113: 108: 106: 102: 98: 94: 90: 80: 78: 74: 70: 66: 56: 54: 50: 46: 45:mathematician 42: 37: 29: 25: 21: 988: 964:Georg Cantor 959:Paul Bernays 890:Morse–Kelley 865: 798: 797:Subset  744:hereditarily 706:Venn diagram 664:ordered pair 579:Intersection 523:Axiom schema 325: 316: 305: 286: 282: 273: 262: 236: 221: 207: 188: 174: 170: 156: 152: 145:Bibliography 116:Karel Prikry 109: 86: 69:Petr Vopěnka 62: 19: 18: 1035:1944 births 989:Thomas Jech 832:Alternative 811:Uncountable 765:Ultrafilter 624:Cardinality 528:replacement 476:Determinacy 363:Thomas Jech 112:Suslin line 51:who was at 1029:Categories 984:Kurt Gödel 969:Paul Cohen 806:Transitive 574:Identities 558:Complement 545:Operations 506:Regularity 444:Adjunction 403:Set theory 357:Penn state 317:Set theory 254:References 237:Set Theory 204:K. Hrbáček 131:measurable 53:Penn State 49:set theory 32:pronounced 28:Tomáš Jech 917:Paradoxes 837:Axiomatic 816:Universal 792:Singleton 787:Recursive 730:Countable 725:Amorphous 584:Power set 501:Power set 459:dependent 454:countable 353:Home page 315:"Review: 272:"Review: 921:Problems 825:Theories 801:Superset 777:Infinite 606:Concepts 486:Infinity 410:Overview 313:(1980). 270:(1989). 177:(1971) ( 101:topology 97:analysis 859:General 854:Zermelo 760:subbase 742: ( 681:Forcing 659:Element 631: ( 609:Methods 496:Pairing 365:at the 165:0215729 114:. With 93:algebra 75:of the 43:) is a 750:Filter 740:Finite 676:Family 619:Almost 464:global 449:Choice 436:Axioms 245:  228:  214:  202:(with 195:  181:  163:  103:, and 41:Prague 842:Naive 772:Fuzzy 735:Empty 718:types 669:tuple 639:Class 633:large 594:Union 511:Union 322:(PDF) 279:(PDF) 24:Czech 755:base 243:ISBN 226:ISBN 212:ISBN 193:ISBN 179:ISBN 83:Work 59:Life 716:Set 330:doi 291:doi 175:217 1031:: 324:. 287:20 285:. 281:. 206:) 161:MR 155:, 141:. 107:. 99:, 95:, 91:, 79:. 30:, 26:: 799:· 783:) 779:( 746:) 635:) 395:e 388:t 381:v 359:. 338:. 332:: 299:. 293:: 232:) 218:) 199:) 185:) 157:8 128:1 22:(

Index

Czech
[ˈtomaːʃˈjɛx]
Prague
mathematician
set theory
Penn State
Charles University
Petr Vopěnka
Institute of Mathematics
Academy of Sciences of the Czech Republic
mathematical logic
algebra
analysis
topology
measure theory
Suslin line
Karel Prikry
precipitous ideal
axiom of choice
measurable
Jech–Kunen tree
Kenneth Kunen
MR
0215729
ISBN
978-3540055648
ISBN
978-0-486-46624-8
K. Hrbáček
ISBN

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