000 | 02646nam a2200385 i 4500 | ||
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003 | UVAL | ||
005 | 20240507121723.0 | ||
006 | a||||gr|||| 00| 0 | ||
007 | ta | ||
008 | 220105s2019 enk rb 001 0 eng | ||
010 | _a 2021029784 | ||
020 | _a9781108925860 | ||
040 |
_aDIBRA _bspa _cUVAL _erda |
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041 | 1 |
_aeng _hfre |
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082 | 0 | 4 |
_a514.224 _223 |
100 | 1 |
_aDehornoy, Patrick, _eautor. _9236427. |
|
240 | 1 | 0 |
_aCalcul des tresses. _lEnglish. |
245 | 1 | 4 |
_aThe calculus of braids : _ban introduction, and beyond / _cPatrick Dehornoy ; translated by Danièle Gibbons, Greg Gibbons. |
264 | 1 |
_aCambridge ; _aNew York, New York : _bCambridge University Press, _c2019. |
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300 | _a245 páginas. | ||
490 | 0 |
_aLondon Mathematical Society student texts ; _v100 |
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500 | _aIncluye índice. | ||
504 | _aIncluye referencias bibliográficas. | ||
505 | 0 | _aGeometric braids -- Braid groups -- Braid monoids -- The greedy normal form -- The Artin representation -- Handle reduction -- The Dynnikov coordinates -- A few avenues of investigation -- Solutions to the exercises. | |
520 |
_a"Everyone knows what braids are, whether they be made of hair, knitting wool, or electrical cables. However, it is not at all evident that we can construct a theory about them, that is, elaborate a coherent and mathematically interesting corpus of results concerning them. Our goal here is to convince the reader that there is a resoundingly positive response to this question: braids are indeed fascinating objects, with a variety of rich mathematical properties. For this, we will concentrate on carefully and completely establishing only a few selected results. What they have in common is the sophistication of the proofs they require, in spite of their very simple statements. At the heart of the approach, a natural multiplication operation of braids leads to group structures, the braid groups. Combining both algebraic and topological aspects, these groups enjoy multiple interesting properties and are at the same time simple and complex"-- _cProvided by publisher. |
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588 | _aDescription based on print version record and CIP data provided by publisher; resource not viewed. | ||
650 | 1 | 4 |
_aMATEMATICAS _970034. |
700 | 1 |
_aGibbons, Danièle, _e, traductora _9236428. |
|
700 | 1 |
_aGibbons, Greg, _e, traductor _9236429. |
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776 | 0 | 8 |
_iPrint version: _aDehornoy, Patrick. _tCalculus of braids _dCambridge ; New York, NY : Cambridge University Press, 2022 _z9781108843942 _w(DLC) 2021029783 |
942 |
_2ddc _cBK |
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999 |
_c283148 _d283148 |