TY  - BOOK
AU  - Waldhausen,Friedhelm
AU  - Jahren,Bjørn
AU  - Rognes,John
TI  - Spaces of PL manifolds and categories of simple maps
T2  - Annals of mathematics studies
SN  - 9781400846528
AV  - QA613.4 .W35 2013eb
U1  - 514/.22 23
PY  - 2013///
CY  - Princeton
PB  - Princeton University Press
KW  - Piecewise linear topology
KW  - Mappings (Mathematics)
KW  - Topologie linéaire par morceaux
KW  - Applications (Mathématiques)
KW  - MATHEMATICS
KW  - Topology
KW  - bisacsh
KW  - Transformations
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references and index; Frontmatter --; Contents --; Introduction --; 1. The stable parametrized h-cobordism theorem --; 2. On simple maps --; 3. The non-manifold part --; 4. The manifold part --; Bibliography --; Symbols --; Index
N2  - 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
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=529479
ER  -