000 | 02973nam a22004575i 4500 | ||
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001 | 978-3-540-39025-1 | ||
003 | DE-He213 | ||
005 | 20190213151308.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1987 gw | s |||| 0|eng d | ||
020 |
_a9783540390251 _9978-3-540-39025-1 |
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024 | 7 |
_a10.1007/BFb0081997 _2doi |
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050 | 4 | _aQA612-612.8 | |
072 | 7 |
_aPBPD _2bicssc |
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072 | 7 |
_aMAT038000 _2bisacsh |
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072 | 7 |
_aPBPD _2thema |
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082 | 0 | 4 |
_a514.2 _223 |
100 | 1 |
_aWen-tsün, Wu. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aRational Homotopy Type _h[electronic resource] : _bA Constructive Study via the Theory of the I*-measure / _cby Wu Wen-tsün. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1987. |
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300 |
_aX, 222 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1264 |
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505 | 0 | _aFundamental concepts. Measure and calculability -- Dga and minimal model -- The de rham-sullivan theorem and I*-measure -- I*-measure and homotopy -- I*-measure of a homogeneous space — The cartan theorem -- Effective computation and axiomatic system of I*-measure -- I*-measures connected with fibrations. | |
520 | _aThis comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive points of view in rational homotopy. The I*-measure is shown to differ from other homology and homotopy measures in that it is calculable with respect to most of the important geometric constructions encountered in algebraic topology. This approach provides a new method of treatment and leads to various new results. In particular, an axiomatic system of I*-measure is formulated, quite different in spirit from the usual Eilenberg-Steenrod axiomatic system for homology, and giving at the same time an algorithmic method of computation of the I*-measure in concrete cases. The book will be of interest to researchers in rational homotopy theory and will provide them with new ideas and lines of research to develop further. | ||
650 | 0 | _aAlgebraic topology. | |
650 | 1 | 4 |
_aAlgebraic Topology. _0http://scigraph.springernature.com/things/product-market-codes/M28019 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662166482 |
776 | 0 | 8 |
_iPrinted edition: _z9783540136118 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1264 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0081997 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10185 _d10185 |