Elements of Homotopy Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1978
|
| Schriftenreihe: | Graduate Texts in Mathematics
61 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory. It is assumed that the reader is familiar with the fundamental group and with singular homology theory, including the Universal Coefficient and Kiinneth Theorems. Some acquaintance with manifolds and Poincare duality is desirable, but not essential. Anyone who has taught a course in algebraic topology is familiar with the fact that a formidable amount of technical machinery must be introduced and mastered before the simplest applications can be made. This phenomenon is also observable in the more advanced parts of the subject. I have attempted to short-circuit it by making maximal use of elementary methods. This approach entails a leisurely exposition in which brevity and perhaps elegance are sacrificed in favor of concreteness and ease of application. It is my hope that this approach will make homotopy theory accessible to workers in a wide range of other subjects-subjects in which its impact is beginning to be felt. It is a consequence of this approach that the order of development is to a certain extent historical. Indeed, if the order in which the results presented here does not strictly correspond to that in which they were discovered, it nevertheless does correspond to an order in which they might have been discovered had those of us who were working in the area been a little more perspicacious |
| Beschreibung: | 1 Online-Ressource (744p) |
| ISBN: | 9781461263180 9781461263203 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-6318-0 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-6318-0 |
| format | Electronic eBook |
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| spelling | Whitehead, George W. Verfasser aut Elements of Homotopy Theory by George W. Whitehead New York, NY Springer New York 1978 1 Online-Ressource (744p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 61 0072-5285 As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory. It is assumed that the reader is familiar with the fundamental group and with singular homology theory, including the Universal Coefficient and Kiinneth Theorems. Some acquaintance with manifolds and Poincare duality is desirable, but not essential. Anyone who has taught a course in algebraic topology is familiar with the fact that a formidable amount of technical machinery must be introduced and mastered before the simplest applications can be made. This phenomenon is also observable in the more advanced parts of the subject. I have attempted to short-circuit it by making maximal use of elementary methods. This approach entails a leisurely exposition in which brevity and perhaps elegance are sacrificed in favor of concreteness and ease of application. It is my hope that this approach will make homotopy theory accessible to workers in a wide range of other subjects-subjects in which its impact is beginning to be felt. It is a consequence of this approach that the order of development is to a certain extent historical. Indeed, if the order in which the results presented here does not strictly correspond to that in which they were discovered, it nevertheless does correspond to an order in which they might have been discovered had those of us who were working in the area been a little more perspicacious Mathematics Topology Mathematik Homotopie (DE-588)4025803-8 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Homotopietheorie (DE-588)4128142-1 s 2\p DE-604 Homotopie (DE-588)4025803-8 s 3\p DE-604 https://doi.org/10.1007/978-1-4612-6318-0 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Whitehead, George W. Elements of Homotopy Theory Mathematics Topology Mathematik Homotopie (DE-588)4025803-8 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| subject_GND | (DE-588)4025803-8 (DE-588)4128142-1 (DE-588)4151278-9 |
| title | Elements of Homotopy Theory |
| title_auth | Elements of Homotopy Theory |
| title_exact_search | Elements of Homotopy Theory |
| title_full | Elements of Homotopy Theory by George W. Whitehead |
| title_fullStr | Elements of Homotopy Theory by George W. Whitehead |
| title_full_unstemmed | Elements of Homotopy Theory by George W. Whitehead |
| title_short | Elements of Homotopy Theory |
| title_sort | elements of homotopy theory |
| topic | Mathematics Topology Mathematik Homotopie (DE-588)4025803-8 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| topic_facet | Mathematics Topology Mathematik Homotopie Homotopietheorie Einführung |
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