Spaces of PL Manifolds and Categories of Simple Maps (AM-186) /

Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared until now. This book pre...

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Detalles Bibliográficos
Autor principal: Waldhausen, Friedhelm, 1938-
Otros Autores: Rognes, John, Jahren, Bjorn, 1945-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2013.
Colección:Book collections on Project MUSE.
Temas:
Piecewise linear topology.
Mappings (Mathematics)
MATHEMATICS > Transformations.
MATHEMATICS > Topology.
Applications (Mathematiques)
Topologie lineaire par morceaux.
Electronic books.
Acceso en línea:Texto completo
Descripción
Sumario:Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared until now. This book presents such a proof, essentially completing Waldhausen's program from more than thirty years ago. The main result is a stable parametrized h-cobordism theorem, derived from a homotopy equivalence between a space of PL h-cobordisms on a space X and the classifying space of a category of simple maps of spaces having X as deformation retract.
Descripción Física:1 online resource.
ISBN:9781400846528

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