Spaces of PL Manifolds and Categories of Simple Maps

Spaces of PL Manifolds and Categories of Simple Maps

eBook - 2013
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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 simp.
Publisher: Princeton : Princeton University Press, 2013
ISBN: 9781400846528
1400846528
1299051448
9781299051447
0691157766
9780691157764
0691157758
9780691157757
Characteristics: 1 online resource
Additional Contributors: Rognes, John
Jahren, Bj ̀¨rn 1945-

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