Spaces of PL manifolds and categories of simple maps:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton
Princeton University Press
2013
|
| Schriftenreihe: | Annals of mathematics studies
no. 186 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index 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 simp |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 0691157758 0691157766 1299051448 1400846528 9780691157757 9780691157764 9781299051447 9781400846528 |
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| 100 | 1 | |a Waldhausen, Friedhelm |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Spaces of PL manifolds and categories of simple maps |c Friedhelm Waldhausen, Bjørn Jahren, and John Rognes |
| 264 | 1 | |a Princeton |b Princeton University Press |c 2013 | |
| 300 | |a 1 Online-Ressource | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a Annals of mathematics studies |v no. 186 | |
| 500 | |a Includes bibliographical references and index | ||
| 500 | |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 simp | ||
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| 700 | 1 | |a Jahren, Bjørn |e Sonstige |4 oth | |
| 700 | 1 | |a Rognes, John |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Waldhausen, Friedhelm |
| author_facet | Waldhausen, Friedhelm |
| author_role | aut |
| author_sort | Waldhausen, Friedhelm |
| author_variant | f w fw |
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| bvnumber | BV043103178 |
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| dewey-full | 514/.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.22 |
| dewey-search | 514/.22 |
| dewey-sort | 3514 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043103178 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:31Z |
| institution | BVB |
| isbn | 0691157758 0691157766 1299051448 1400846528 9780691157757 9780691157764 9781299051447 9781400846528 |
| language | English |
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| oclc_num | 828077867 |
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| physical | 1 Online-Ressource |
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| publishDate | 2013 |
| publishDateSearch | 2013 |
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| publisher | Princeton University Press |
| record_format | marc |
| series2 | Annals of mathematics studies |
| spelling | Waldhausen, Friedhelm Verfasser aut Spaces of PL manifolds and categories of simple maps Friedhelm Waldhausen, Bjørn Jahren, and John Rognes Princeton Princeton University Press 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Annals of mathematics studies no. 186 Includes bibliographical references and index 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 simp MATHEMATICS / Topology bisacsh MATHEMATICS / Transformations bisacsh Mappings (Mathematics) fast Piecewise linear topology fast Piecewise linear topology Mappings (Mathematics) Jahren, Bjørn Sonstige oth Rognes, John Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=529479 Aggregator Volltext |
| spellingShingle | Waldhausen, Friedhelm Spaces of PL manifolds and categories of simple maps MATHEMATICS / Topology bisacsh MATHEMATICS / Transformations bisacsh Mappings (Mathematics) fast Piecewise linear topology fast Piecewise linear topology Mappings (Mathematics) |
| title | Spaces of PL manifolds and categories of simple maps |
| title_auth | Spaces of PL manifolds and categories of simple maps |
| title_exact_search | Spaces of PL manifolds and categories of simple maps |
| title_full | Spaces of PL manifolds and categories of simple maps Friedhelm Waldhausen, Bjørn Jahren, and John Rognes |
| title_fullStr | Spaces of PL manifolds and categories of simple maps Friedhelm Waldhausen, Bjørn Jahren, and John Rognes |
| title_full_unstemmed | Spaces of PL manifolds and categories of simple maps Friedhelm Waldhausen, Bjørn Jahren, and John Rognes |
| title_short | Spaces of PL manifolds and categories of simple maps |
| title_sort | spaces of pl manifolds and categories of simple maps |
| topic | MATHEMATICS / Topology bisacsh MATHEMATICS / Transformations bisacsh Mappings (Mathematics) fast Piecewise linear topology fast Piecewise linear topology Mappings (Mathematics) |
| topic_facet | MATHEMATICS / Topology MATHEMATICS / Transformations Mappings (Mathematics) Piecewise linear topology |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=529479 |
| work_keys_str_mv | AT waldhausenfriedhelm spacesofplmanifoldsandcategoriesofsimplemaps AT jahrenbjørn spacesofplmanifoldsandcategoriesofsimplemaps AT rognesjohn spacesofplmanifoldsandcategoriesofsimplemaps |