TY  - BOOK
AU  - Baues,Hans J.
TI  - Geometry of Loop Spaces and the Cobar Construction
T2  - Memoirs of the American Mathematical Society
SN  - 9781470406349
AV  - QA612.76 -- .B38 1980eb 
U1  - 510 s;514/.224 
PY  - 1980///
CY  - Providence
PB  - American Mathematical Society
KW  - Loop spaces
KW  - Cobar construction (Topology)
KW  - Functor theory
KW  - Complexes, Semisimplicial
KW  - Electronic books
N1  - Intro -- Contents -- Introduction -- Prologue -- Chapter I: The bar and cobar constructions --  1 The geometric bar construction --  2 The geometric cobar construction for simplicial spaces --  3 The algebraic bar and cobar constructions -- Appendix 1: The cobar construction of Adams -- Appendix 2: Loop spaces of projective spaces --  4 Adjunction and strongly homotopy multiplicative maps -- Chapter II: A model theorem for loop spaces --  1 Realization of functors -- Appendix: DI categories with retractions --  2 A model theorem for loop spaces --  3 Approximation of path spaces --  4 Proof of the model theorem -- Chapter III: On the desuspension of model functors --  1 Abstract complexes --  2 Model functors and their desuspension by cellular strings -- Appendix: Reduced model functors and iterated loop spaces --  3 Cellular strings in the simplex --  4 Cellular strings in the cube --  5 Simplicial subdivision of cubes and cubical subdivision of parallelohedra --  6 Cellular strings in products of simplices --  7 Cellular strings in the parallelohedron C[sup(n)] -- Chapter IV: Applications --  1 The geometric cobar construction --  2 A diagonal for the cobar construction and a model for the double loop space of a simplicial space --  3 CW-models of Milgram for Ω[sup(n)]Σ[sup(n)]× -- Appendix: The cellular chain complex of the Milgram models --  4 A CW-model for Ω[sup(n)]S[sup(n)] --  5 A model for ΩΩ[sup(n)]Σ[sup(n)]× -- Appendix: On the suspension of Hopf maps -- References -- Index -- A -- B -- C -- D -- E -- F -- H -- I -- J -- K -- L -- M -- O -- P -- R -- S -- T -- V -- W
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113475
ER  -