Geometry of loop spaces and the cobar construction / / by H.J. Baues
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| Autore: |
Baues Hans J. <1943->
|
| Titolo: |
Geometry of loop spaces and the cobar construction / / by H.J. Baues
|
| 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 | |
| Soggetto genere / forma: | Electronic books. |
| 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.: | 9910479916603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 230.