Spaces of PL Manifolds and Categories of Simple Maps

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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.


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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.


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  • Formats: pdf
  • ISBN: 9781400846528
  • Publication Date: 21 Apr 2013
  • Publisher: Princeton University Press
  • Product language: English
  • Drm Setting: DRM