Spaces of PL Manifolds and Categories of Simple Maps (AM-186)

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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 ...

Spaces of PL Manifolds and Categories of Simple Maps (AM-186) 2013, Princeton University Press, New Jersey

ISBN-13: 9780691157764

Paperback

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Spaces of PL Manifolds and Categories of Simple Maps (AM-186) 2013, Princeton University Press, New Jersey

ISBN-13: 9780691157757

Hardcover

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