| Description |
1 online resource |
| Series |
Annals of mathematics studies ; no. 186 |
|
Annals of mathematics studies ; no. 186.
|
| Contents |
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 |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
In English |
|
Print version record |
| Subject |
Piecewise linear topology.
|
|
Mappings (Mathematics)
|
|
MATHEMATICS -- Topology.
|
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MATHEMATICS -- Transformations.
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Mappings (Mathematics)
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Piecewise linear topology
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| Form |
Electronic book
|
| Author |
Jahren, Bjørn, 1945-
|
|
Rognes, John.
|
| ISBN |
9781400846528 |
|
1400846528 |
|
