03060nam 2200625 450 991078889380332120180731044908.01-4704-0634-9(CKB)3360000000464414(EBL)3113475(SSID)ssj0000973593(PQKBManifestationID)11594937(PQKBTitleCode)TC0000973593(PQKBWorkID)10961065(PQKB)10997026(MiAaPQ)EBC3113475(RPAM)3716466(PPN)195411137(EXLCZ)99336000000046441419800304h19801980 uy| 0engur|n|---|||||txtccrGeometry of loop spaces and the cobar construction /by H.J. BauesProvidence, Rhode Island :American Mathematical Society,[1980]©19801 online resource (194 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 230"Volume 25 ... first of 3 numbers."Includes index.0-8218-2230-6 Bibliography: pages 168.""Contents""; ""Introduction""; ""Prologue""; ""Chapter I: The bar and cobar constructions""; ""Â 1 The geometric bar construction""; ""Â 2 The geometric cobar construction for simplicial spaces""; ""Â 3 The algebraic bar and cobar constructions""; ""Appendix 1: The cobar construction of Adams""; ""Appendix 2: Loop spaces of projective spaces""; ""Â 4 Adjunction and strongly homotopy multiplicative maps""; ""Chapter II: A model theorem for loop spaces""; ""Â 1 Realization of functors""; ""Appendix: DI categories with retractions""; ""Â 2 A model theorem for loop spaces""""Â 3 Approximation of path spaces""""Â 4 Proof of the model theorem""; ""Chapter III: On the desuspension of model functors""; ""Â 1 Abstract complexes""; ""Â 2 Model functors and their desuspension by cellular strings""; ""Appendix: Reduced model functors and iterated loop spaces""; ""Â 3 Cellular strings in the simplex""; ""Â 4 Cellular strings in the cube""; ""Â 5 Simplicial subdivision of cubes and cubical subdivision of parallelohedra""; ""Â 6 Cellular strings in products of simplices""; ""Â 7 Cellular strings in the parallelohedron C[sup(n)] ""; ""Chapter IV: Applications""Memoirs of the American Mathematical Society ;no. 230.Loop spacesCobar construction (Topology)Functor theoryComplexes, SemisimplicialLoop spaces.Cobar construction (Topology)Functor theory.Complexes, Semisimplicial.510 s514/.224Baues Hans J.1943-54336MiAaPQMiAaPQMiAaPQBOOK9910788893803321Geometry of loop spaces and the cobar construction3799729UNINA