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Spaces of PL Manifolds and Categories of Simple Maps (AM-186) /
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 pre...
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| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2013.
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| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 005 | 20230905043528.0 | ||
| 006 | m o d | ||
| 007 | cr||||||||nn|n | ||
| 008 | 130220s2013 nju o 00 0 eng d | ||
| 020 | |a 9781400846528 | ||
| 020 | |z 9780691157764 | ||
| 020 | |z 9780691157757 | ||
| 020 | |z 9781400847587 | ||
| 040 | |a MdBmJHUP |c MdBmJHUP | ||
| 100 | 1 | |a Waldhausen, Friedhelm, |d 1938- | |
| 245 | 1 | 0 | |a Spaces of PL Manifolds and Categories of Simple Maps (AM-186) / |c Friedhelm Waldhausen, Bjorn Jahren, and John Rognes. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 2013. | |
| 264 | 3 | |a Baltimore, Md. : |b Project MUSE, |c 0000 | |
| 264 | 4 | |c ©2013. | |
| 300 | |a 1 online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Annals of mathematics studies ; |v no. 186 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Introduction -- |t 1. The stable parametrized h-cobordism theorem -- |t 2. On simple maps -- |t 3. The non-manifold part -- |t 4. The manifold part -- |t Bibliography -- |t Symbols -- |t Index. |
| 520 | |a 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. | ||
| 546 | |a In English. | ||
| 588 | |a Description based on print version record. | ||
| 650 | 7 | |a Piecewise linear topology. |2 fast |0 (OCoLC)fst01063865 | |
| 650 | 7 | |a Mappings (Mathematics) |2 fast |0 (OCoLC)fst01008724 | |
| 650 | 7 | |a MATHEMATICS |x Transformations. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 6 | |a Applications (Mathematiques) | |
| 650 | 6 | |a Topologie lineaire par morceaux. | |
| 650 | 0 | |a Mappings (Mathematics) | |
| 650 | 0 | |a Piecewise linear topology. | |
| 655 | 7 | |a Electronic books. |2 local | |
| 700 | 1 | |a Rognes, John. | |
| 700 | 1 | |a Jahren, Bjorn, |d 1945- | |
| 710 | 2 | |a Project Muse. |e distributor | |
| 830 | 0 | |a Book collections on Project MUSE. | |
| 856 | 4 | 0 | |z Texto completo |u https://projectmuse.uam.elogim.com/book/33481/ |
| 945 | |a Project MUSE - Custom Collection | ||