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Record Nr. |
UNINA9910788893803321 |
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Autore |
Baues Hans J. <1943-> |
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Titolo |
Geometry of loop spaces and the cobar construction / / by H.J. Baues |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1980] |
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©1980 |
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ISBN |
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Descrizione fisica |
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1 online resource (194 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 230 |
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Disciplina |
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Soggetti |
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Loop spaces |
Cobar construction (Topology) |
Functor theory |
Complexes, Semisimplicial |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 25 ... first of 3 numbers." |
Includes index. |
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Nota di bibliografia |
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Nota di contenuto |
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""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)] ""; |
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