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Francisco Javier González-Acuña

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22: 351: 338: 404: 344: 489: 51: 388: 474: 469: 445: 479: 162:. In 1978, together with José María Montesinos, he answered a question posed by Fox, proving the existence of 2-knots whose groups have 381: 286: 73: 494: 438: 374: 295: 322: 499: 34: 431: 44: 38: 30: 55: 149: 98: 308: 464: 158: 484: 110: 130: 170: 153: 178: 174: 302:
Unsolvability of word problems with knot groups, at arXiv-2010 and L'Enseignement Mathematique.
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https://www.smm.org.mx/noticia/121/escuela-fico-gonzalez-acuna-de-nudos-y-3-variedades
458: 411: 186: 137: 350: 190: 141: 337: 291: 114: 113:, obtaining his Ph.D. in 1970. His thesis, written under the supervision of 403: 182: 317: 343: 152:
and has weight at most one. This result (a "remarkable theorem", as
305: 300: 202: 189:, i.e. a surgery which results in a reducible 3-manifold, are the 94: 207: 90: 490:
Academic staff of the National Autonomous University of Mexico
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Math. Proc. Cambridge Philos. Soc. 99 (1986), no. 1, 89–102.
239:, Annals of Mathematics (2) 108 (1978), no. 1, 91–96. 223:, Annals of Mathematics (2) 102 (1975), no. 2, 37–377. 419: 362: 261:
J.C. Gómez-Larrañaga, F.J. González-Acuña, J. Hoste.
265:, Math. Proc. Camb. Phil. Soc. 109 (1991), 105–115. 156:called it in his review), was published in 1975 in 43:but its sources remain unclear because it lacks 439: 382: 8: 357:This article about a Mexican scientist is a 173:, González-Acuña proposed and worked on the 129:An early result of González-Acuña is that a 89:(nickname "Fico") is a mathematician in the 446: 432: 389: 375: 232:González-Acuña, F., Montesinos, José M., 74:Learn how and when to remove this message 318:https://escueladenudos.matem.unam.mx/ 7: 400: 398: 333: 331: 248:González-Acuña, F., Short, Hamish, 475:21st-century Mexican mathematicians 470:20th-century Mexican mathematicians 418:. You can help Knowledge (XXG) by 361:. You can help Knowledge (XXG) by 14: 402: 349: 342: 336: 306:https://www.cimat.mx/es/node/590 93:'s institute of mathematics and 20: 292:Francisco Javier González-Acuña 109:He did his graduate studies at 87:Francisco Javier González-Acuña 263:Minimal Atlases on 3-manifolds 1: 296:Mathematics Genealogy Project 480:Princeton University alumni 250:Knot surgery and primeness. 516: 397: 330: 221:Homomorphs of knot groups 185:which admit a reducible 99:low-dimensional topology 29:This article includes a 495:Mexican scientist stubs 58:more precise citations. 410:This article about a 214:Selected publications 159:Annals of Mathematics 219:González-Acuña, F., 164:infinitely many ends 111:Princeton University 500:Mathematician stubs 119:On homology spheres 311:2019-05-06 at the 175:cabling conjecture 150:finitely generated 97:, specializing in 31:list of references 427: 426: 370: 369: 84: 83: 76: 507: 448: 441: 434: 406: 399: 391: 384: 377: 353: 348: 347: 346: 340: 332: 79: 72: 68: 65: 59: 54:this article by 45:inline citations 24: 23: 16: 515: 514: 510: 509: 508: 506: 505: 504: 455: 454: 453: 452: 396: 395: 341: 335: 328: 313:Wayback Machine 283: 278: 216: 199: 144:if and only if 127: 107: 80: 69: 63: 60: 49: 35:related reading 25: 21: 12: 11: 5: 513: 511: 503: 502: 497: 492: 487: 482: 477: 472: 467: 457: 456: 451: 450: 443: 436: 428: 425: 424: 407: 394: 393: 386: 379: 371: 368: 367: 354: 326: 325: 320: 315: 303: 298: 289: 282: 281:External links 279: 277: 274: 273: 272: 259: 246: 237:of knot groups 230: 215: 212: 211: 210: 205: 198: 195: 140:image of some 126: 123: 106: 103: 82: 81: 39:external links 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 512: 501: 498: 496: 493: 491: 488: 486: 483: 481: 478: 476: 473: 471: 468: 466: 465:Living people 463: 462: 460: 449: 444: 442: 437: 435: 430: 429: 423: 421: 417: 413: 412:mathematician 408: 405: 401: 392: 387: 385: 380: 378: 373: 372: 366: 364: 360: 355: 352: 345: 339: 334: 329: 324: 321: 319: 316: 314: 310: 307: 304: 301: 299: 297: 293: 290: 288: 285: 284: 280: 275: 271: 268: 264: 260: 258: 255: 251: 247: 245: 242: 238: 236: 231: 229: 226: 222: 218: 217: 213: 209: 206: 204: 201: 200: 196: 194: 192: 188: 184: 180: 176: 172: 167: 165: 161: 160: 155: 151: 147: 143: 139: 135: 132: 124: 122: 120: 117:, was titled 116: 112: 104: 102: 100: 96: 92: 88: 78: 75: 67: 57: 53: 47: 46: 40: 36: 32: 27: 18: 17: 420:expanding it 409: 363:expanding it 356: 327: 262: 249: 233: 220: 187:Dehn surgery 171:Hamish Short 168: 157: 154:Lee Neuwirth 145: 133: 128: 118: 108: 86: 85: 70: 64:January 2023 61: 50:Please help 42: 485:Topologists 191:cable knots 177:: the only 138:homomorphic 56:introducing 459:Categories 276:References 142:knot group 115:Ralph Fox 105:Education 309:Archived 287:portrait 197:See also 183:3-sphere 125:Research 294:at the 270:1075124 257:0809502 244:0559794 228:0379671 181:in the 136:is the 52:improve 414:is a 203:CIMAT 179:knots 169:With 131:group 95:CIMAT 37:, or 416:stub 359:stub 235:Ends 208:UNAM 91:UNAM 148:is 461:: 267:MR 254:MR 241:MR 225:MR 193:. 166:. 121:. 101:. 41:, 33:, 447:e 440:t 433:v 422:. 390:e 383:t 376:v 365:. 146:G 134:G 77:) 71:( 66:) 62:( 48:.

Index

list of references
related reading
external links
inline citations
improve
introducing
Learn how and when to remove this message
UNAM
CIMAT
low-dimensional topology
Princeton University
Ralph Fox
group
homomorphic
knot group
finitely generated
Lee Neuwirth
Annals of Mathematics
infinitely many ends
Hamish Short
cabling conjecture
knots
3-sphere
Dehn surgery
cable knots
CIMAT
UNAM
MR
0379671
Ends

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