Friedhelm WaldhausenBjørn JahrenJohn RognesApril 21, 2013

Princeton University PressThe 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.

Publisher

Princeton University Press

Published on

Apr 21, 2013

Pages

192

ISBN

9781400846528

Features

Best For

Language

English

Genres

Mathematics / Functional Analysis

Mathematics / Topology

Mathematics / Transformations

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