Geometry of loop spaces and the cobar construction / / by H.J. Baues

• Autore: Baues Hans J. <1943->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1980]; ©1980
• Descrizione fisica: 1 online resource (194 p.)
• Disciplina: 510 s; 514/.224
• Soggetto topico: Loop spaces; Cobar construction (Topology); Functor theory; Complexes, Semisimplicial
• Note generali: "Volume 25 ... first of 3 numbers."; Includes index.
• Nota di bibliografia: Bibliography: pages 168.
• Nota di contenuto: ""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""
• Titolo autorizzato: Geometry of loop spaces and the cobar construction
• ISBN: 1-4704-0634-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788893803321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 230.