Cover image for Spaces of PL manifolds and categories of simple maps
Title:
Spaces of PL manifolds and categories of simple maps
Author:
Waldhausen, Friedhelm, 1938-
ISBN:
9781400846528
Publication Information:
Princeton : Princeton University Press, 2013.
Physical Description:
1 online resource.
Series:
Annals of mathematics studies ; no. 186

Annals of mathematics studies ; no. 186.
Abstract:
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.
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