Knowledge (XXG)

Paul A. Schweitzer

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Foliations, geometry, and topology : Paul Schweitzer festschrift: conference in honor of the 70th birthday of Paul Schweitzer, S.J., August 6–10, 2007, PUC-Rio, Rio de Janeiro, Brazil
642: 222:'s compact leaf theorem cannot be generalized to manifolds with dimension greater than 3. Specifically, Schweitzer proved that a smooth, compact, connected manifold with 290: 129: 270: 89: 657: 602: 597: 622: 339: 652: 612: 607: 627: 433: 378: 278: 328: 219: 617: 504: 370: 335: 321: 125: 247: 71: 218:
that every non-vanishing vector field on the 3-sphere has a closed integral curve. In 1995 he demonstrated that
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Schweitzer, P. A. (1974). "Counterexamples to the Seifert conjecture and opening closed leaves of foliations".
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Schweitzer, Paul A. (1995). "Codimension one foliations without compact leaves".
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and was ordained in 1970 as a Catholic priest. In 1963 he became a member of the
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Paul A. Schweitzer, S.J., Full Professor, Dept. of Mathematics, PUC-Rio
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Academic staff of the Pontifical Catholic University of Rio de Janeiro
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Secondary cohomology operations induced by the diagonal mapping
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Secondary cohomology operations induced by the diagonal mapping
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Schweitzer, P. A. (1975). "Compact leaves of foliations".
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He received a degree in philosophy (Ph.L.) in 1966 from
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Boston College School of Theology and Ministry alumni
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Vol. 1. pp. 543–546. 279:Weston Jesuit School of Theology 202:Schweitzer has done research on 334:He was elected a Fellow of the 329:Brazilian Mathematical Society 262:. His dissertation was titled 1: 653:People from Yonkers, New York 613:21st-century American Jesuits 608:20th-century American Jesuits 505:Mathematics Genealogy Project 371:American Mathematical Society 336:American Mathematical Society 537:10.1016/0040-9383(65)90002-9 516:Schweitzer, Paul A. (1965). 322:Institute for Advanced Study 126:Institute for Advanced Study 628:Princeton University alumni 674: 234:that has no compact leaf. 501:Paul Alexander Schweitzer 258:under the supervision of 248:College of the Holy Cross 242:Schweitzer was raised in 180:Paul Alexander Schweitzer 173: 104: 72:College of the Holy Cross 33:Paul Alexander Schweitzer 318:University of Strasbourg 298:University of Notre Dame 283:Cambridge, Massachusetts 306:Northwestern University 16:American mathematician 482:Georgetown University 397:Annals of Mathematics 275:Weston, Massachusetts 189:differential topology 618:American topologists 302:Fairfield University 256:Princeton University 250:, graduating with a 224:Euler characteristic 81:Princeton University 252:Bachelor of Science 447:10.1007/BF02566004 314:Harvard University 216:Seifert conjecture 197:algebraic topology 193:geometric topology 23:Paul A. Schweitzer 185: 177: 176: 164:Doctoral students 106:Scientific career 50:Yonkers, New York 665: 565: 564: 556: 550: 549: 539: 513: 507: 498: 492: 491: 489: 488: 465: 459: 458: 428: 422: 421: 391: 385: 384: 360: 230:codimension-one 183: 153:Doctoral advisor 147: 46: 42: 40: 19: 673: 672: 668: 667: 666: 664: 663: 662: 583: 582: 574: 569: 568: 558: 557: 553: 515: 514: 510: 499: 495: 486: 484: 467: 466: 462: 430: 429: 425: 410:10.2307/1971077 393: 392: 388: 381: 362: 361: 357: 352: 260:Norman Steenrod 240: 238:Life and career 158:Norman Steenrod 145: 128: 88: 79: 68:Alma mater 53: 47: 44: 38: 36: 35: 34: 24: 17: 12: 11: 5: 671: 669: 661: 660: 655: 650: 645: 640: 635: 630: 625: 620: 615: 610: 605: 600: 595: 585: 584: 581: 580: 573: 572:External links 570: 567: 566: 551: 530:(4): 337–355. 508: 493: 478:Rio de Janeiro 460: 441:(1): 171–209. 423: 404:(2): 386–400. 386: 379: 354: 353: 351: 348: 310:Boston College 271:Weston College 239: 236: 220:Sergei Novikov 175: 174: 171: 170: 165: 161: 160: 155: 149: 148: 139: 133: 132: 123: 119: 118: 113: 109: 108: 102: 101: 90:Weston College 69: 65: 64: 59: 55: 54: 48: 32: 30: 26: 25: 22: 15: 13: 10: 9: 6: 4: 3: 2: 670: 659: 656: 654: 651: 649: 648:Living people 646: 644: 641: 639: 636: 634: 631: 629: 626: 624: 621: 619: 616: 614: 611: 609: 606: 604: 601: 599: 596: 594: 591: 590: 588: 579: 576: 575: 571: 562: 555: 552: 547: 543: 538: 533: 529: 525: 524: 519: 512: 509: 506: 502: 497: 494: 483: 479: 475: 471: 464: 461: 456: 452: 448: 444: 440: 436: 435: 427: 424: 419: 415: 411: 407: 403: 399: 398: 390: 387: 382: 380:9780821846285 376: 372: 368: 367: 359: 356: 349: 347: 345: 341: 337: 332: 330: 325: 323: 319: 315: 311: 307: 303: 299: 294: 292: 288: 284: 280: 276: 272: 267: 265: 261: 257: 253: 249: 245: 237: 235: 233: 229: 225: 221: 217: 213: 209: 205: 200: 198: 194: 190: 186: 181: 172: 169: 166: 162: 159: 156: 154: 150: 143: 140: 138: 134: 131: 127: 124: 120: 117: 114: 110: 107: 103: 99: 95: 91: 86: 82: 77: 73: 70: 66: 63: 60: 56: 51: 45:(age 87) 43:July 21, 1937 31: 27: 20: 560: 554: 527: 521: 511: 496: 485:. Retrieved 473: 463: 438: 432: 426: 401: 395: 389: 365: 358: 333: 326: 295: 268: 263: 241: 227: 201: 179: 178: 141: 122:Institutions 105: 593:1937 births 342:in 1974 in 212:3-manifolds 208:knot theory 168:Suely Druck 58:Nationality 587:Categories 487:2023-12-23 480:, Brazil: 350:References 316:, and the 204:foliations 39:1937-07-21 455:120853552 344:Vancouver 232:foliation 523:Topology 244:New York 116:Topology 62:American 546:0182969 503:at the 418:1971077 287:Jesuits 544:  453:  416:  377:  300:, the 210:, and 195:, and 146:(1962) 144:  137:Thesis 112:Fields 52:, U.S. 451:S2CID 414:JSTOR 375:ISBN 98:BDiv 29:Born 532:doi 443:doi 406:doi 402:100 340:ICM 281:in 273:in 266:. 94:PhL 85:PhD 589:: 542:MR 540:. 526:. 520:. 476:. 472:. 449:. 439:70 437:. 412:. 400:. 373:. 369:. 346:. 331:. 324:. 312:, 308:, 304:, 293:. 206:, 199:. 191:, 184:SJ 96:, 76:BS 41:) 548:. 534:: 528:3 490:. 457:. 445:: 420:. 408:: 383:. 228:C 100:) 92:( 87:) 83:( 78:) 74:( 37:(

Index

Yonkers, New York
American
College of the Holy Cross
BS
Princeton University
PhD
Weston College
PhL
BDiv
Topology
Institute for Advanced Study
Pontifical Catholic University of Rio de Janeiro
Thesis
Doctoral advisor
Norman Steenrod
Suely Druck
SJ
differential topology
geometric topology
algebraic topology
foliations
knot theory
3-manifolds
Seifert conjecture
Sergei Novikov
Euler characteristic
foliation
New York
College of the Holy Cross
Bachelor of Science

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