Introduction to Piecewise-Linear Topology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1982
|
| Schriftenreihe: | Springer Study Edition
69 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The first five chapters of this book form an introductory course in piece wise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, andi)erhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewise linear setting and could be the basis of a first year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appen dix are listed the properties of Whitehead torsion which are used in the s-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geo metric topology as a research subject, a bibliography of research papers being included. We have omitted acknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices |
| Beschreibung: | 1 Online-Ressource (VIII, 126 p) |
| ISBN: | 9783642817359 9783540111023 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-81735-9 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-81735-9 |
| format | Electronic eBook |
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| id | DE-604.BV042423033 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642817359 9783540111023 |
| issn | 0071-1136 |
| language | English |
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| spelling | Rourke, Colin P. Verfasser aut Introduction to Piecewise-Linear Topology by Colin P. Rourke, Brian J. Sanderson Berlin, Heidelberg Springer Berlin Heidelberg 1982 1 Online-Ressource (VIII, 126 p) txt rdacontent c rdamedia cr rdacarrier Springer Study Edition 69 0071-1136 The first five chapters of this book form an introductory course in piece wise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, andi)erhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewise linear setting and could be the basis of a first year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appen dix are listed the properties of Whitehead torsion which are used in the s-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geo metric topology as a research subject, a bibliography of research papers being included. We have omitted acknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices Mathematics Mathematics, general Mathematik Topologie (DE-588)4060425-1 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Topologie (DE-588)4060425-1 s 1\p DE-604 Differentialtopologie (DE-588)4012255-4 s 2\p DE-604 Sanderson, Brian J. Sonstige oth https://doi.org/10.1007/978-3-642-81735-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rourke, Colin P. Introduction to Piecewise-Linear Topology Mathematics Mathematics, general Mathematik Topologie (DE-588)4060425-1 gnd Differentialtopologie (DE-588)4012255-4 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4012255-4 |
| title | Introduction to Piecewise-Linear Topology |
| title_auth | Introduction to Piecewise-Linear Topology |
| title_exact_search | Introduction to Piecewise-Linear Topology |
| title_full | Introduction to Piecewise-Linear Topology by Colin P. Rourke, Brian J. Sanderson |
| title_fullStr | Introduction to Piecewise-Linear Topology by Colin P. Rourke, Brian J. Sanderson |
| title_full_unstemmed | Introduction to Piecewise-Linear Topology by Colin P. Rourke, Brian J. Sanderson |
| title_short | Introduction to Piecewise-Linear Topology |
| title_sort | introduction to piecewise linear topology |
| topic | Mathematics Mathematics, general Mathematik Topologie (DE-588)4060425-1 gnd Differentialtopologie (DE-588)4012255-4 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Topologie Differentialtopologie |
| url | https://doi.org/10.1007/978-3-642-81735-9 |
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