Foundational essays on topological manifolds, smoothings, and triangulations:
Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, i...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[1977]
|
| Schriftenreihe: | Annals of Mathematics Studies
number 88 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed May 30, 2016) |
| Beschreibung: | 1 online resource BV040389493 |
| ISBN: | 9781400881505 9780691081915 |
| DOI: | 10.1515/9781400881505 |
Internformat
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| 520 | |a Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery | ||
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Datensatz im Suchindex
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| author | Kirby, Robion C. 1938- Siebenmann, Laurence C. |
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| dewey-sort | 3514 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400881505 |
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| id | DE-604.BV043712410 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:33:08Z |
| institution | BVB |
| isbn | 9781400881505 9780691081915 |
| language | English |
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| spelling | Kirby, Robion C. 1938- (DE-588)112708145 aut Foundational essays on topological manifolds, smoothings, and triangulations Robion C. Kirby, Laurence C. Siebenmann Princeton, NJ Princeton University Press [1977] © 1977 1 online resource BV040389493 txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 88 Description based on online resource; title from PDF title page (publisher's Web site, viewed May 30, 2016) Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery In English Manifolds (Mathematics) Piecewise linear topology Triangulating manifolds Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd rswk-swf Topologische Mannigfaltigkeit (DE-588)4185712-4 s 1\p DE-604 Siebenmann, Laurence C. aut Erscheint auch als Druck-Ausgabe 978-0-691-08191-5 Annals of Mathematics Studies number 88 (DE-604)BV040389493 88 https://doi.org/10.1515/9781400881505?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kirby, Robion C. 1938- Siebenmann, Laurence C. Foundational essays on topological manifolds, smoothings, and triangulations Annals of Mathematics Studies Manifolds (Mathematics) Piecewise linear topology Triangulating manifolds Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd |
| subject_GND | (DE-588)4185712-4 |
| title | Foundational essays on topological manifolds, smoothings, and triangulations |
| title_auth | Foundational essays on topological manifolds, smoothings, and triangulations |
| title_exact_search | Foundational essays on topological manifolds, smoothings, and triangulations |
| title_full | Foundational essays on topological manifolds, smoothings, and triangulations Robion C. Kirby, Laurence C. Siebenmann |
| title_fullStr | Foundational essays on topological manifolds, smoothings, and triangulations Robion C. Kirby, Laurence C. Siebenmann |
| title_full_unstemmed | Foundational essays on topological manifolds, smoothings, and triangulations Robion C. Kirby, Laurence C. Siebenmann |
| title_short | Foundational essays on topological manifolds, smoothings, and triangulations |
| title_sort | foundational essays on topological manifolds smoothings and triangulations |
| topic | Manifolds (Mathematics) Piecewise linear topology Triangulating manifolds Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd |
| topic_facet | Manifolds (Mathematics) Piecewise linear topology Triangulating manifolds Topologische Mannigfaltigkeit |
| url | https://doi.org/10.1515/9781400881505?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
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