Spaces of PL manifolds and categories of simple maps /
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Author / Creator: | Waldhausen, Friedhelm, 1938- |
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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: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11173380 |
Other authors / contributors: | Jahren, Bjørn, 1945- Rognes, John. |
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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 |
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