Knowledge (XXG)

Aleksei Chernavskii

Source πŸ“

93:. From 1993 he was working part-time as a professor at the Department of Higher Geometry and Topology, Faculty of Mechanics and Mathematics, Moscow State University. He wrote a textbook on differential differential geometry for advanced students. 414:
Abdusamatov, R. M.; Adamovich, S. V.; Berkinblit, M. B.; Chernavsky, A. V.; Feldman, A. G. (1988). "Rapid One-Joint Movements: A Qualitative Model and its Experimental Verification".
588: 526: 70:(habilitation) thesis Π“ΠΎΠΌΠ΅ΠΎΠΌΠΎΡ€Ρ„ΠΈΠ·ΠΌΡ‹ ΠΈ топологичСскиС влоТСния ΠΌΠ½ΠΎΠ³ΠΎΠΎΠ±Ρ€Π°Π·ΠΈΠΉ (Homeomorphisms and topological embeddings of manifolds). In 1970 he was an Invited Speaker at the 331: 311: 291: 271: 250: 230: 209: 189: 169: 145: 125: 845: 840: 82: 71: 835: 86: 431: 382: 349: 55: 860: 850: 786: 753: 66:, on the topic ΠšΠΎΠ½Π΅Ρ‡Π½ΠΎΠΊΡ€Π°Ρ‚Π½Ρ‹Π΅ отобраТСния ΠΌΠ½ΠΎΠ³ΠΎΠΎΠ±Ρ€Π°Π·ΠΈΠΉ (Finite-fold mappings of manifolds). In 1970 he defended his Russian 636: 443:"The reduction of the control of movement for manipulation robots from many degrees of freedom to one degree of freedom" 38:; 17 January 1938 – 22 December 2023) was a Russian mathematician, specializing in differential geometry and topology. 90: 78: 51: 780: 747: 716: 59: 77:
Chernavskii worked as a senior researcher at the Steklov Institute until 1973 and from 1973 to 1980 at
682: 564: 502: 855: 830: 825: 539: 394: 361: 383:"Piecewise linear approximations of embeddings of cells and spheres in codimensions higher than two" 607: 464: 67: 427: 599: 547: 485: 454: 419: 402: 369: 63: 31: 543: 398: 365: 316: 296: 276: 256: 235: 215: 194: 174: 154: 130: 110: 819: 611: 468: 775:. Novaya Seriya. 66(108) (3): 471–472; Amer. Math. Soc. Trans. (2) 100 1972, 296–270 742:. Novaya Seriya. 65(107) (3): 357–369; Amer. Math. Soc. Trans. (2) 100 1972, 253–257 406: 373: 423: 50:
and completed undergraduate study at the Faculty of Mechanics and Mathematics of
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Chernavskii, A. V. (2008). "Local contractibility of the homeomorphism group of
552: 498: 489: 603: 769:"Addendum to the paper "Finite-to-one open mappings of manifolds" (Russian)" 632: 499:"Theorem on the union of two topologically flat cells of codimension 1 in 476:
Chernavsky, A.V.; Leksine, V.P. (2006). "Unrecognizability of manifolds".
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Institute for Information Transmission Problems (Kharkevich Institute)
47: 768: 735: 350:"Local contractibility of the group of homeomorphisms of a manifold" 663: 700: 293:
fails to be a local homeomorphism at x} satisfies dimension (
717:"The Chernavskii Theorem and Embedding Dimension (preprint)" 87:
Kharkevich Institute for Information Transmission Problems
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Chernavskii died on 22 December 2023, at the age of 85.
81:. From 1980 to 1985 he was a senior researcher at the 567: 505: 319: 299: 279: 259: 238: 218: 197: 177: 157: 133: 113: 736:"Finite-to-one open mappings of manifolds (Russian)" 648:Černavskii, A. V. (1970). "Espace de plongements". 592:
Proceedings of the Steklov Institute of Mathematics
582: 520: 325: 305: 285: 265: 244: 224: 203: 183: 163: 139: 119: 54:in 1959. He enrolled in graduate school at the 441:Karpushkin, V. N.; Chernavsky, A. V. (1997). 8: 62:(PhD) thesis, written under the guidance of 171:is a discrete, open, continuous mapping of 83:Moscow Institute of Physics and Technology 574: 570: 569: 566: 551: 512: 508: 507: 504: 458: 318: 298: 278: 258: 237: 217: 196: 176: 156: 132: 112: 715:Martio, O.; Ryazanov (19 October 1999). 72:International Congress of Mathematicians 625: 778: 745: 7: 846:21st-century Russian mathematicians 841:20th-century Russian mathematicians 805:"Chernavskii, Aleksei Viktorovich" 684:Π”ΠΈΡ„Ρ„Π΅Ρ€Π΅Π½Ρ†ΠΈΠ°Π»ΡŒΠ½Π°Ρ гСомСтрия, 2 курс 14: 650:Internat. Congr. Math, Nice, 1970 16:Russian mathematician (1938–2023) 583:{\displaystyle \mathbb {R} ^{n}} 521:{\displaystyle \mathbb {R} ^{n}} 478:Annals of Pure and Applied Logic 447:Journal of Mathematical Sciences 85:. From 1985 he was employed the 56:Steklov Institute of Mathematics 407:10.1070/SM1969v009n03ABEH001287 387:Mathematics of the USSR-Sbornik 374:10.1070/SM1969v008n03ABEH001121 354:Mathematics of the USSR-Sbornik 20:Aleksei Viktorovich Chernavskii 836:Moscow State University alumni 652:. Vol. 2. pp. 65–67. 1: 637:Mathematics Genealogy Project 532:Abstract and Applied Analysis 36:АлСксСй Π’ΠΈΠΊΡ‚ΠΎΡ€ΠΎΠ²ΠΈΡ‡ ЧСрнавский 424:10.1007/978-1-4899-0821-6_24 767:Chernavskii, A. V. (1965). 734:Chernavskii, A. V. (1964). 381:Chernavskii, A. V. (1969). 348:Chernavskii, A. V. (1969). 91:Russian Academy of Sciences 877: 785:: CS1 maint: postscript ( 752:: CS1 maint: postscript ( 681:ЧСрнавский, А. Π’. (2012). 497:Chernavsky, A. V. (2006). 490:10.1016/j.apal.2005.12.011 253:= { x: x is an element of 79:Yaroslavl State University 58:. In 1964 he defended his 604:10.1134/S0081543808040147 35: 701:Бкончался А.Π’.ЧСрнавский 46:Chernavskii was born in 99: 52:Moscow State University 861:Scientists from Moscow 851:Differential geometers 584: 553:10.1155/AAA/2006/82602 522: 327: 307: 287: 267: 246: 226: 205: 185: 165: 141: 121: 585: 523: 342:Selected publications 328: 308: 288: 268: 247: 227: 206: 186: 166: 142: 122: 105:Chernavskii's theorem 100:Chernavskii's theorem 60:Candidate of Sciences 565: 503: 418:. pp. 261–270. 317: 297: 277: 257: 236: 216: 212:then the branch set 195: 175: 155: 131: 111: 664:"Alexey Chernavsky" 633:Aleksei Chernavskii 544:2006AbApA2006E..39C 399:1969SbMat...9..321C 366:1969SbMat...8..287C 580: 518: 460:10.1007/BF02434982 323: 303: 283: 263: 242: 222: 201: 181: 161: 137: 117: 68:Doctor of Sciences 433:978-1-4899-0823-0 416:Stance and Motion 326:{\displaystyle f} 306:{\displaystyle B} 286:{\displaystyle f} 266:{\displaystyle M} 245:{\displaystyle f} 225:{\displaystyle B} 204:{\displaystyle N} 184:{\displaystyle M} 164:{\displaystyle f} 140:{\displaystyle N} 120:{\displaystyle M} 868: 812: 791: 790: 784: 776: 764: 758: 757: 751: 743: 731: 725: 724: 721:wiki.helsinki.fi 712: 706: 705: 698: 692: 691: 689: 678: 672: 671: 660: 654: 653: 645: 639: 630: 615: 589: 587: 586: 581: 579: 578: 573: 557: 555: 527: 525: 524: 519: 517: 516: 511: 493: 472: 462: 437: 410: 377: 332: 330: 329: 324: 312: 310: 309: 304: 292: 290: 289: 284: 272: 270: 269: 264: 251: 249: 248: 243: 231: 229: 228: 223: 210: 208: 207: 202: 190: 188: 187: 182: 170: 168: 167: 162: 146: 144: 143: 138: 126: 124: 123: 118: 64:Lyudmila Keldysh 37: 876: 875: 871: 870: 869: 867: 866: 865: 816: 815: 803: 800: 795: 794: 777: 766: 765: 761: 744: 733: 732: 728: 714: 713: 709: 703: 699: 695: 687: 680: 679: 675: 662: 661: 657: 647: 646: 642: 631: 627: 622: 568: 563: 562: 560: 506: 501: 500: 496: 475: 440: 434: 413: 380: 347: 344: 333: 315: 314: 295: 294: 275: 274: 255: 254: 252: 234: 233: 214: 213: 211: 193: 192: 173: 172: 153: 152: 151:-manifolds and 129: 128: 109: 108: 102: 44: 17: 12: 11: 5: 874: 872: 864: 863: 858: 853: 848: 843: 838: 833: 828: 818: 817: 814: 813: 799: 798:External links 796: 793: 792: 759: 726: 707: 693: 673: 655: 640: 624: 623: 621: 618: 617: 616: 577: 572: 558: 515: 510: 494: 484:(3): 325–335. 473: 453:(4): 531–533. 438: 432: 411: 393:(3): 321–343. 378: 360:(3): 287–333. 343: 340: 322: 313: 302: 282: 262: 241: 232: 221: 200: 180: 160: 136: 116: 101: 98: 43: 40: 15: 13: 10: 9: 6: 4: 3: 2: 873: 862: 859: 857: 854: 852: 849: 847: 844: 842: 839: 837: 834: 832: 829: 827: 824: 823: 821: 810: 806: 802: 801: 797: 788: 782: 774: 770: 763: 760: 755: 749: 741: 737: 730: 727: 722: 718: 711: 708: 702: 697: 694: 686: 685: 677: 674: 669: 665: 659: 656: 651: 644: 641: 638: 634: 629: 626: 619: 613: 609: 605: 601: 597: 593: 575: 559: 554: 549: 545: 541: 537: 533: 529: 513: 495: 491: 487: 483: 479: 474: 470: 466: 461: 456: 452: 448: 444: 439: 435: 429: 425: 421: 417: 412: 408: 404: 400: 396: 392: 388: 384: 379: 375: 371: 367: 363: 359: 355: 351: 346: 345: 341: 339: 337: 320: 300: 280: 260: 239: 219: 198: 178: 158: 150: 134: 114: 106: 97: 94: 92: 88: 84: 80: 75: 73: 69: 65: 61: 57: 53: 49: 41: 39: 33: 29: 25: 21: 808: 781:cite journal 772: 762: 748:cite journal 739: 729: 720: 710: 704:(in Russian) 696: 683: 676: 667: 658: 649: 643: 628: 595: 591: 535: 531: 481: 477: 450: 446: 415: 390: 386: 357: 353: 335: 148: 104: 103: 95: 76: 45: 27: 23: 19: 18: 856:Topologists 831:2023 deaths 826:1938 births 809:Math-Net.Ru 598:: 189–203. 107:(1964): If 820:Categories 620:References 28:Černavskii 24:Chernavsky 612:120374353 469:121719832 74:in Nice. 42:Biography 773:Mat. Sb 740:Mat. Sb 635:at the 540:Bibcode 538:: 1–9. 395:Bibcode 362:Bibcode 89:of the 32:Russian 610:  467:  430:  48:Moscow 688:(PDF) 608:S2CID 465:S2CID 338:– 2. 191:into 787:link 754:link 536:2006 428:ISBN 334:) ≀ 273:and 147:are 127:and 22:(or 600:doi 596:263 590:". 548:doi 486:doi 482:141 455:doi 420:doi 403:doi 370:doi 30:) ( 26:or 822:: 807:. 783:}} 779:{{ 771:. 750:}} 746:{{ 738:. 719:. 666:. 606:. 594:. 546:. 534:. 530:. 480:. 463:. 451:83 449:. 445:. 426:. 401:. 389:. 385:. 368:. 356:. 352:. 34:: 811:. 789:) 756:) 723:. 690:. 670:. 614:. 602:: 576:n 571:R 556:. 550:: 542:: 528:" 514:n 509:R 492:. 488:: 471:. 457:: 436:. 422:: 409:. 405:: 397:: 391:9 376:. 372:: 364:: 358:8 336:n 321:f 301:B 281:f 261:M 240:f 220:B 199:N 179:M 159:f 149:n 135:N 115:M

Index

Russian
Moscow
Moscow State University
Steklov Institute of Mathematics
Candidate of Sciences
Lyudmila Keldysh
Doctor of Sciences
International Congress of Mathematicians
Yaroslavl State University
Moscow Institute of Physics and Technology
Kharkevich Institute for Information Transmission Problems
Russian Academy of Sciences
"Local contractibility of the group of homeomorphisms of a manifold"
Bibcode
1969SbMat...8..287C
doi
10.1070/SM1969v008n03ABEH001121
"Piecewise linear approximations of embeddings of cells and spheres in codimensions higher than two"
Bibcode
1969SbMat...9..321C
doi
10.1070/SM1969v009n03ABEH001287
doi
10.1007/978-1-4899-0821-6_24
ISBN
978-1-4899-0823-0
"The reduction of the control of movement for manipulation robots from many degrees of freedom to one degree of freedom"
doi
10.1007/BF02434982
S2CID

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