000 02973nam a22004575i 4500
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
024 7 _a10.1007/BFb0081997
_2doi
050 4 _aQA612-612.8
072 7 _aPBPD
_2bicssc
072 7 _aMAT038000
_2bisacsh
072 7 _aPBPD
_2thema
082 0 4 _a514.2
_223
100 1 _aWen-tsün, Wu.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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.
300 _aX, 222 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1264
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
856 4 0 _uhttps://doi.org/10.1007/BFb0081997
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10185
_d10185