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