The algebraic characterization of geometric 4-manifolds:
This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel–Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1994
|
| Series: | London Mathematical Society lecture note series
198 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel–Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces. This book is essential reading for anyone interested in low-dimensional topology |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (ix, 170 pages) |
| ISBN: | 9780511526350 |
| DOI: | 10.1017/CBO9780511526350 |
Staff View
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| 520 | |a This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel–Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces. This book is essential reading for anyone interested in low-dimensional topology | ||
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| id | DE-604.BV043942415 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511526350 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351385 |
| oclc_num | 849943471 |
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| physical | 1 online resource (ix, 170 pages) |
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| publishDate | 1994 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Hillman, Jonathan A. 1947- Verfasser aut The algebraic characterization of geometric 4-manifolds J.A. Hillman Cambridge Cambridge University Press 1994 1 online resource (ix, 170 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 198 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel–Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces. This book is essential reading for anyone interested in low-dimensional topology Four-manifolds (Topology) Homotopy theory Dimension 4 (DE-588)4338676-3 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Dimension 4 (DE-588)4338676-3 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-46778-0 https://doi.org/10.1017/CBO9780511526350 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hillman, Jonathan A. 1947- The algebraic characterization of geometric 4-manifolds Four-manifolds (Topology) Homotopy theory Dimension 4 (DE-588)4338676-3 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| subject_GND | (DE-588)4338676-3 (DE-588)4037379-4 |
| title | The algebraic characterization of geometric 4-manifolds |
| title_auth | The algebraic characterization of geometric 4-manifolds |
| title_exact_search | The algebraic characterization of geometric 4-manifolds |
| title_full | The algebraic characterization of geometric 4-manifolds J.A. Hillman |
| title_fullStr | The algebraic characterization of geometric 4-manifolds J.A. Hillman |
| title_full_unstemmed | The algebraic characterization of geometric 4-manifolds J.A. Hillman |
| title_short | The algebraic characterization of geometric 4-manifolds |
| title_sort | the algebraic characterization of geometric 4 manifolds |
| topic | Four-manifolds (Topology) Homotopy theory Dimension 4 (DE-588)4338676-3 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| topic_facet | Four-manifolds (Topology) Homotopy theory Dimension 4 Mannigfaltigkeit |
| url | https://doi.org/10.1017/CBO9780511526350 |
| work_keys_str_mv | AT hillmanjonathana thealgebraiccharacterizationofgeometric4manifolds |