LEADER 03064nam 2200625 450 001 9910479916603321 005 20180731044908.0 010 $a1-4704-0634-9 035 $a(CKB)3360000000464414 035 $a(EBL)3113475 035 $a(SSID)ssj0000973593 035 $a(PQKBManifestationID)11594937 035 $a(PQKBTitleCode)TC0000973593 035 $a(PQKBWorkID)10961065 035 $a(PQKB)10997026 035 $a(MiAaPQ)EBC3113475 035 $a(PPN)195411137 035 $a(EXLCZ)993360000000464414 100 $a19800304h19801980 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeometry of loop spaces and the cobar construction /$fby H.J. Baues 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1980] 210 4$dİ1980 215 $a1 online resource (194 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 230 300 $a"Volume 25 ... first of 3 numbers." 300 $aIncludes index. 311 $a0-8218-2230-6 320 $aBibliography: pages 168. 327 $a""Contents""; ""Introduction""; ""Prologue""; ""Chapter I: The bar and cobar constructions""; ""A? 1 The geometric bar construction""; ""A? 2 The geometric cobar construction for simplicial spaces""; ""A? 3 The algebraic bar and cobar constructions""; ""Appendix 1: The cobar construction of Adams""; ""Appendix 2: Loop spaces of projective spaces""; ""A? 4 Adjunction and strongly homotopy multiplicative maps""; ""Chapter II: A model theorem for loop spaces""; ""A? 1 Realization of functors""; ""Appendix: DI categories with retractions""; ""A? 2 A model theorem for loop spaces"" 327 $a""A? 3 Approximation of path spaces""""A? 4 Proof of the model theorem""; ""Chapter III: On the desuspension of model functors""; ""A? 1 Abstract complexes""; ""A? 2 Model functors and their desuspension by cellular strings""; ""Appendix: Reduced model functors and iterated loop spaces""; ""A? 3 Cellular strings in the simplex""; ""A? 4 Cellular strings in the cube""; ""A? 5 Simplicial subdivision of cubes and cubical subdivision of parallelohedra""; ""A? 6 Cellular strings in products of simplices""; ""A? 7 Cellular strings in the parallelohedron C[sup(n)] ""; ""Chapter IV: Applications"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 230. 606 $aLoop spaces 606 $aCobar construction (Topology) 606 $aFunctor theory 606 $aComplexes, Semisimplicial 608 $aElectronic books. 615 0$aLoop spaces. 615 0$aCobar construction (Topology) 615 0$aFunctor theory. 615 0$aComplexes, Semisimplicial. 676 $a510 s 676 $a514/.224 700 $aBaues$b Hans J.$f1943-$054336 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910479916603321 996 $aGeometry of loop spaces and the cobar construction$92271314 997 $aUNINA