Spaces of PL manifolds and categories of simple maps /

Spaces of PL manifolds and categories of simple maps /

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Bibliographic Details
Author / Creator:	Waldhausen, Friedhelm, 1938-
Imprint:	Princeton : Princeton University Press, 2013.
Description:	1 online resource
Language:	English
Series:	Annals of mathematics studies ; no. 186 Annals of mathematics studies ; no. 186.
Subject:	Piecewise linear topology. Mappings (Mathematics) Mappings (Mathematics) Piecewise linear topology. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11173380

Hidden Bibliographic Details
Other authors / contributors:	Jahren, Bjørn, 1945- Rognes, John.
ISBN:	9781400846528 1400846528 9780691157757 0691157758 9780691157764 0691157766 9781299051447 1299051448
Notes:	Includes bibliographical references and index. In English. Print version record.
Summary:	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.
Other form:	Print version: Waldhausen, Friedhelm, 1938- Spaces of PL manifolds and categories of simple maps. Princeton : Princeton University Press, 2013 9780691157757
Standard no.:	10.1515/9781400846528

Description
Summary:	No detailed description available for "Spaces of PL Manifolds and Categories of Simple Maps".
Physical Description:	1 online resource
Bibliography:	Includes bibliographical references and index.
ISBN:	9781400846528 1400846528 9780691157757 0691157758 9780691157764 0691157766 9781299051447 1299051448