LEADER 03030nam 2200589 450 001 996466488703316 005 20220907180806.0 010 $a3-540-39025-1 024 7 $a10.1007/BFb0081997 035 $a(CKB)1000000000437541 035 $a(SSID)ssj0000326094 035 $a(PQKBManifestationID)12087660 035 $a(PQKBTitleCode)TC0000326094 035 $a(PQKBWorkID)10265748 035 $a(PQKB)10524148 035 $a(DE-He213)978-3-540-39025-1 035 $a(MiAaPQ)EBC5576895 035 $a(Au-PeEL)EBL5576895 035 $a(OCoLC)1066184817 035 $a(MiAaPQ)EBC6842022 035 $a(Au-PeEL)EBL6842022 035 $a(PPN)15519450X 035 $a(EXLCZ)991000000000437541 100 $a20220907d1987 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aRational homotopy type $ea constructive study via the theory of the I*-measure /$fWen-tsu?n Wu 205 $a1st ed. 1987. 210 1$aBerlin, Germany :$cSpringer,$d[1987] 210 4$dİ1987 215 $a1 online resource (X, 222 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1264 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-13611-8 311 $a3-540-13611-8 327 $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. 330 $aThis comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive points of view in rational homotopy. The I*-measure is shown to differ from other homology and homotopy measures in that it is calculable with respect to most of the important geometric constructions encountered in algebraic topology. This approach provides a new method of treatment and leads to various new results. In particular, an axiomatic system of I*-measure is formulated, quite different in spirit from the usual Eilenberg-Steenrod axiomatic system for homology, and giving at the same time an algorithmic method of computation of the I*-measure in concrete cases. The book will be of interest to researchers in rational homotopy theory and will provide them with new ideas and lines of research to develop further. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1264 606 $aMeasure theory 615 0$aMeasure theory. 676 $a514.24 700 $aWu$b Wen-tsu?n$055251 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466488703316 996 $aRational homotopy type$978536 997 $aUNISA