An introduction to homotopy theory:
Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1953
|
| Series: | Cambridge tracts in mathematics
43 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment to be found in original papers. The first six chapters describe the essential ideas of homotopy theory: homotopy groups, the classical theorems, the exact homotopy sequence, fibre-spaces, the Hopf invariant, and the Freudenthal suspension. The final chapters discuss J. H. C. Whitehead's cell-complexes and their application to homotopy groups of complexes |
| Physical Description: | 1 Online-Ressource (viii, 142 Seiten) |
| ISBN: | 9780511666278 |
| DOI: | 10.1017/CBO9780511666278 |
Staff View
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| 520 | |a Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment to be found in original papers. The first six chapters describe the essential ideas of homotopy theory: homotopy groups, the classical theorems, the exact homotopy sequence, fibre-spaces, the Hopf invariant, and the Freudenthal suspension. The final chapters discuss J. H. C. Whitehead's cell-complexes and their application to homotopy groups of complexes | ||
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Record in the Search Index
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| author | Hilton, Peter John 1923-2010 |
| author_GND | (DE-588)115702822 |
| author_facet | Hilton, Peter John 1923-2010 |
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| author_sort | Hilton, Peter John 1923-2010 |
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| building | Verbundindex |
| bvnumber | BV043942312 |
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| collection | ZDB-20-CBO |
| contents | Bibliografía e índice |
| ctrlnum | (ZDB-20-CBO)CR9780511666278 (OCoLC)967602159 (DE-599)BVBBV043942312 |
| dewey-full | 513.83 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 513 - Arithmetic |
| dewey-raw | 513.83 |
| dewey-search | 513.83 |
| dewey-sort | 3513.83 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511666278 |
| format | Electronic eBook |
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| id | DE-604.BV043942312 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511666278 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351282 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (viii, 142 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1953 |
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| publisher | Cambridge University Press |
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| spelling | Hilton, Peter John 1923-2010 Verfasser (DE-588)115702822 aut An introduction to homotopy theory by P. J. Hilton Cambridge Cambridge University Press 1953 1 Online-Ressource (viii, 142 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 43 Bibliografía e índice Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment to be found in original papers. The first six chapters describe the essential ideas of homotopy theory: homotopy groups, the classical theorems, the exact homotopy sequence, fibre-spaces, the Hopf invariant, and the Freudenthal suspension. The final chapters discuss J. H. C. Whitehead's cell-complexes and their application to homotopy groups of complexes Homotopy theory Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf 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 DE-604 Algebraische Topologie (DE-588)4120861-4 s Homotopie (DE-588)4025803-8 s Erscheint auch als Druck-Ausgabe 978-0-521-05265-8 https://doi.org/10.1017/CBO9780511666278 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hilton, Peter John 1923-2010 An introduction to homotopy theory Bibliografía e índice Homotopy theory Algebraische Topologie (DE-588)4120861-4 gnd Homotopie (DE-588)4025803-8 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| subject_GND | (DE-588)4120861-4 (DE-588)4025803-8 (DE-588)4128142-1 (DE-588)4151278-9 |
| title | An introduction to homotopy theory |
| title_auth | An introduction to homotopy theory |
| title_exact_search | An introduction to homotopy theory |
| title_full | An introduction to homotopy theory by P. J. Hilton |
| title_fullStr | An introduction to homotopy theory by P. J. Hilton |
| title_full_unstemmed | An introduction to homotopy theory by P. J. Hilton |
| title_short | An introduction to homotopy theory |
| title_sort | an introduction to homotopy theory |
| topic | Homotopy theory Algebraische Topologie (DE-588)4120861-4 gnd Homotopie (DE-588)4025803-8 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| topic_facet | Homotopy theory Algebraische Topologie Homotopie Homotopietheorie Einführung |
| url | https://doi.org/10.1017/CBO9780511666278 |
| work_keys_str_mv | AT hiltonpeterjohn anintroductiontohomotopytheory |