Description: Further DetailsTitle: Spaces of PL Manifolds and Categories of Simple MapsCondition: NewISBN-10: 0691157766EAN: 9780691157764ISBN: 9780691157764Publisher: Princeton University PressFormat: PaperbackRelease Date: 04/28/2013Description: 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. The smooth and topological results then follow by smoothing and triangulation theory. The proof has two main parts. The essence of the first part is a "desingularization," improving arbitrary finite simplicial sets to polyhedra. The second part compares polyhedra with PL manifolds by a thickening procedure. Many of the techniques and results developed should be useful in other connections.Language: EnglishCountry/Region of Manufacture: USItem Height: 235mmItem Length: 156mmItem Weight: 255gAuthor: Friedhelm Waldhausen, Bjørn Jahren, John RognesGenre: Science Nature & MathBook Series: Annals of Mathematics StudiesRelease Year: 2013 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
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Book Title: Spaces of PL Manifolds and Categories of Simple Maps
Title: Spaces of PL Manifolds and Categories of Simple Maps
ISBN-10: 0691157766
EAN: 9780691157764
ISBN: 9780691157764
Release Date: 04/28/2013
Release Year: 2013
Country/Region of Manufacture: US
Genre: Science Nature & Math
Number of Pages: 192 Pages
Language: English
Publication Name: Spaces of PL Manifolds and Categories of Simple Maps
Publisher: Princeton University Press
Item Height: 0.4 in
Publication Year: 2013
Subject: Geometry / Differential, Functional Analysis, Transformations, Topology
Type: Textbook
Item Weight: 9 Oz
Item Length: 9.3 in
Author: Bjø Jahren, John Rognes, Friedhelm Waldhausen
Subject Area: Mathematics
Item Width: 6.3 in
Series: Annals of Mathematics Studies
Format: Trade Paperback
