Spaces of PL manifolds and categories of simple maps:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton
Princeton University Press
[2013]
|
| Schriftenreihe: | Annals of mathematics studies
number 186 |
| Schlagworte: | |
| Online-Zugang: | 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 (184 p) |
| ISBN: | 9781400846528 |
| DOI: | 10.1515/9781400846528 |
Internformat
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| 490 | 1 | |a Annals of mathematics studies |v number 186 | |
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| 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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Datensatz im Suchindex
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| author | Waldhausen, Friedhelm 1938- Jahren, Bjørn 1945- Rognes, John 1966- |
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| author_facet | Waldhausen, Friedhelm 1938- Jahren, Bjørn 1945- Rognes, John 1966- |
| author_role | aut aut aut |
| author_sort | Waldhausen, Friedhelm 1938- |
| author_variant | f w fw b j bj j r jr |
| building | Verbundindex |
| bvnumber | BV042693418 |
| classification_rvk | SI 830 SK 350 |
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| ctrlnum | (OCoLC)828077867 (DE-599)GBV741502429 |
| 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 |
| doi_str_mv | 10.1515/9781400846528 |
| format | Electronic eBook |
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| id | DE-604.BV042693418 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:07:34Z |
| institution | BVB |
| isbn | 9781400846528 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028125037 |
| oclc_num | 828077867 |
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| physical | 1 Online-Ressource (184 p) |
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| publishDate | 2013 |
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| publisher | Princeton University Press |
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| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies |
| spelling | Waldhausen, Friedhelm 1938- (DE-588)1038289076 aut Spaces of PL manifolds and categories of simple maps Friedhelm Waldhausen, Bjørn Jahren and John Rognes Princeton Princeton University Press [2013] © 2013 1 Online-Ressource (184 p) txt rdacontent c rdamedia cr rdacarrier Annals of mathematics studies number 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 Mappings (Mathematics) Piecewise linear topology Jahren, Bjørn 1945- (DE-588)1038289866 aut Rognes, John 1966- (DE-588)141363576 aut Erscheint auch als Druck-Ausgabe 978-0-691-15775-7 Annals of mathematics studies number 186 (DE-604)BV040389493 186 https://doi.org/10.1515/9781400846528?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Waldhausen, Friedhelm 1938- Jahren, Bjørn 1945- Rognes, John 1966- Spaces of PL manifolds and categories of simple maps Annals of mathematics studies Mappings (Mathematics) Piecewise linear topology |
| 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 | Mappings (Mathematics) Piecewise linear topology |
| topic_facet | Mappings (Mathematics) Piecewise linear topology |
| url | https://doi.org/10.1515/9781400846528?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT waldhausenfriedhelm spacesofplmanifoldsandcategoriesofsimplemaps AT jahrenbjørn spacesofplmanifoldsandcategoriesofsimplemaps AT rognesjohn spacesofplmanifoldsandcategoriesofsimplemaps |