Knowledge

André Joyal

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Robert Goldblatt, A Kripke-Joyal semantics for noncommutative logic in quantales; Advances in Modal Logic 6, 209—225, Coll. Publ., London, 2006;
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Joyal, A. (2002). "Quasi-categories and Kan complexes, (in Special volume celebrating the 70th birthday of Prof. Max Kelly)".
587: 453: 419: 576:, Algebraic set theory. London Mathematical Society Lecture Note Series 220. Cambridge Univ. Press 1995. viii+123 pp.  519: 349: 273: 734: 788: 581: 321: 743: 592:
André Joyal, Disks, duality and theta-categories, preprint (1997) (contains an original definition of a weak
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A. Joyal, A letter to Grothendieck, April 1983 (contains a Quillen model structure on simplicial presheaves)
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and recently started a web-based expositional project Joyal's CatLab on categorical mathematics.
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André Joyal, Myles Tierney, Notes on simplicial homotopy theory, CRM Barcelona, Jan 2008
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Joyal, André; Street, Ross; Verity, Dominic (1996). "Traced monoidal categories".
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Joyal, André; Tierney, Myles (1991). "Strong stacks and classifying spaces".
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and Rainer Vogt, in particular conjecturing and proving the existence of a
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Joyal, André; Street, Ross (1991). "The geometry of tensor calculus, I".
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Joyal, André; Tierney, Myles (2007). "Quasi-categories vs Segal spaces".
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Joyal, André; Tierney, Myles (2000). "On the theory of path groupoids".
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in the setup of locales. Most of his research is in some way related to
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whose weak equivalences generalize both equivalence of categories and
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IAS school of mathematics: Univalent Foundations of Mathematics
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of spaces. He co-authored the book "Algebraic Set Theory" with
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Mathematical Proceedings of the Cambridge Philosophical Society
216:(formerly Saint-Majorique). He has three children and lives in 30: 383:
Cahiers de Topologie et Géométrie Différentielle Catégoriques
298:. Contemporary Mathematics. Vol. 431. pp. 277–326. 726: 296:
Categories in Algebra, Geometry and Mathematical Physics
431:"An introduction to Tannaka duality and quantum groups" 133:. He was a member of the School of Mathematics at the 784:
Academic staff of the Université du Québec à Montréal
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Institute for Advanced Study: A Community of Scholars
515:"Tortile Yang-Baxter operators in tensor categories" 139:
Special Year on Univalent Foundations of Mathematics
661:"An extension of the Galois theory of Grothendieck" 236:"An extension of the Galois theory of Grothendieck" 125:; born 1943) is a professor of mathematics at the 541: 750: 596:-category: for a short account see Leinster's 666:Memoirs of the American Mathematical Society 658: 401: 346: 293: 241:Memoirs of the American Mathematical Society 229: 177:and their applications. He did some work on 512: 484: 462: 428: 369: 137:in 2013, where he was invited to join the 29: 678: 532: 504: 376:"Pullbacks equivalent to pseudopullbacks" 303: 253: 751: 718:Interview with André Joyal (in French) 659:Joyal, André; Tierney, Myles (1984). 270: 120: 779:21st-century Canadian mathematicians 774:20th-century Canadian mathematicians 520:Journal of Pure and Applied Algebra 513:Joyal, André; Street, Ross (1991). 429:Joyal, André; Street, Ross (1991). 350:Journal of Pure and Applied Algebra 274:Journal of Pure and Applied Algebra 13: 14: 800: 711: 207: 223: 127:Université du Québec à Montréal 102:Université du Québec à Montréal 696: 687: 652: 637: 626: 615: 485:Joyal, A.; Street, R. (1993). 1: 744:Mathematics Genealogy Project 608: 363:10.1016/S0022-4049(98)00164-9 287:10.1016/S0022-4049(02)00135-4 534:10.1016/0022-4049(91)90039-5 479:10.1016/0001-8708(91)90003-P 135:Institute for Advanced Study 7: 487:"Braided Tensor Categories" 181:, after their invention by 144: 10: 805: 789:People from Drummondville 735:Official Web page at UQAM 558:10.1017/S0305004100074338 107: 97: 83: 76: 62: 37: 28: 21: 161:a generalization of the 492:Advances in Mathematics 466:Advances in Mathematics 506:10.1006/aima.1993.1055 314:10.1090/conm/431/08278 175:higher category theory 167:Alexander Grothendieck 151:Kripke–Joyal semantics 16:Canadian mathematician 155:combinatorial species 71:Combinatorial species 192:on the category of 769:Category theorists 446:10.1007/BFb0084235 412:10.1007/BFb0084222 212:Joyal was born in 680:10.1090/MEMO/0309 455:978-3-540-54706-8 421:978-3-540-54706-8 255:10.1090/memo/0309 111: 110: 78:Scientific career 48:February 25, 1943 796: 705: 700: 694: 691: 685: 684: 682: 656: 650: 641: 635: 630: 624: 619: 569: 538: 536: 510: 508: 482: 459: 435: 425: 398: 380: 366: 343: 307: 290: 281:(1–3): 207–222. 267: 257: 183:Michael Boardman 179:quasi-categories 153:, the theory of 124: 122:[ʒwajal] 119: 67:Quasi-categories 57:, Quebec, Canada 51: 47: 45: 33: 19: 18: 804: 803: 799: 798: 797: 795: 794: 793: 749: 748: 714: 709: 708: 701: 697: 692: 688: 657: 653: 642: 638: 631: 627: 620: 616: 611: 602:math.CT/0305049 456: 438:Category Theory 433: 422: 404:Category Theory 378: 324: 226: 210: 198:Kan equivalence 194:simplicial sets 190:model structure 171:category theory 147: 131:category theory 117: 92:Homotopy theory 90: 88:Category theory 69: 58: 52: 49: 43: 41: 24: 17: 12: 11: 5: 802: 792: 791: 786: 781: 776: 771: 766: 761: 747: 746: 737: 732: 720: 713: 712:External links 710: 707: 706: 703:Joyal's CatLab 695: 686: 651: 636: 625: 613: 612: 610: 607: 606: 605: 590: 584: 570: 552:(3): 447–468. 539: 460: 454: 426: 420: 399: 389:(2): 153–156. 370:Joyal, André; 367: 344: 322: 291: 268: 232:Tierney, Myles 230:Joyal, André; 225: 222: 209: 206: 149:He discovered 146: 143: 109: 108: 105: 104: 99: 95: 94: 85: 81: 80: 74: 73: 64: 63:Known for 60: 59: 53: 39: 35: 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 801: 790: 787: 785: 782: 780: 777: 775: 772: 770: 767: 765: 762: 760: 759:Living people 757: 756: 754: 745: 741: 738: 736: 733: 731: 729: 724: 721: 719: 716: 715: 704: 699: 690: 681: 676: 672: 668: 667: 662: 655: 649: 646: 640: 634: 629: 623: 618: 614: 603: 599: 595: 591: 589: 585: 583: 582:0-521-55830-1 579: 575: 574:Ieke Moerdijk 572:André Joyal, 571: 567: 563: 559: 555: 551: 547: 546: 540: 535: 530: 526: 522: 521: 516: 507: 502: 498: 494: 493: 488: 480: 476: 472: 468: 467: 461: 457: 451: 447: 443: 439: 432: 427: 423: 417: 413: 409: 405: 400: 396: 392: 388: 384: 377: 373: 368: 364: 360: 356: 352: 351: 345: 341: 337: 333: 329: 325: 323:9780821839706 319: 315: 311: 306: 301: 297: 292: 288: 284: 280: 276: 275: 269: 265: 261: 256: 251: 247: 243: 242: 237: 233: 228: 227: 221: 219: 215: 214:Drummondville 208:Personal life 205: 203: 202:Ieke Moerdijk 199: 195: 191: 188: 184: 180: 176: 172: 168: 164: 163:Galois theory 160: 159:Myles Tierney 156: 152: 142: 140: 136: 132: 129:who works on 128: 123: 115: 106: 103: 100: 96: 93: 89: 86: 82: 79: 75: 72: 68: 65: 61: 56: 55:Drummondville 50:(age 81) 40: 36: 32: 27: 20: 727: 698: 689: 670: 664: 654: 639: 628: 617: 593: 549: 543: 524: 518: 496: 490: 470: 464: 437: 403: 386: 382: 372:Street, Ross 354: 348: 305:math/0607820 295: 278: 272: 245: 239: 224:Bibliography 211: 148: 138: 113: 112: 98:Institutions 77: 764:1943 births 740:André Joyal 723:André Joyal 114:André Joyal 23:André Joyal 753:Categories 609:References 473:: 55–112. 357:: 69–100. 44:1943-02-25 527:: 43–51. 499:: 20–78. 340:119749421 157:and with 604:, 10.2). 566:50511333 374:(1993). 234:(1984). 218:Montreal 145:Research 742:at the 725:at the 673:(309). 648:2396933 395:1223657 332:2342834 264:0756176 248:(309). 187:Quillen 118:French: 580:  564:  452:  418:  393:  338:  330:  320:  262:  84:Fields 598:arXiv 562:S2CID 434:(PDF) 379:(PDF) 336:S2CID 300:arXiv 578:ISBN 450:ISBN 416:ISBN 318:ISBN 38:Born 730:Lab 675:doi 588:pdf 554:doi 550:119 529:doi 501:doi 497:102 475:doi 442:doi 408:doi 359:doi 355:149 310:doi 283:doi 279:175 250:doi 165:of 755:: 671:51 669:. 663:. 645:MR 560:. 548:. 525:71 523:. 517:. 511:; 495:. 489:. 483:; 471:88 469:. 448:. 436:. 414:. 391:MR 387:34 385:. 381:. 353:. 334:. 328:MR 326:. 316:. 308:. 277:. 260:MR 258:. 246:51 244:. 238:. 220:. 173:, 141:. 46:) 728:n 683:. 677:: 600:: 594:n 568:. 556:: 537:. 531:: 509:. 503:: 481:. 477:: 458:. 444:: 424:. 410:: 397:. 365:. 361:: 342:. 312:: 302:: 289:. 285:: 266:. 252:: 116:( 42:(

Index


Drummondville
Quasi-categories
Combinatorial species
Category theory
Homotopy theory
Université du Québec à Montréal
[ʒwajal]
Université du Québec à Montréal
category theory
Institute for Advanced Study
Kripke–Joyal semantics
combinatorial species
Myles Tierney
Galois theory
Alexander Grothendieck
category theory
higher category theory
quasi-categories
Michael Boardman
Quillen
model structure
simplicial sets
Kan equivalence
Ieke Moerdijk
Drummondville
Montreal
Tierney, Myles
"An extension of the Galois theory of Grothendieck"
Memoirs of the American Mathematical Society

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