Two-dimensional homotopy and combinatorial group theory:
Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimension...
Saved in:
| Other Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1993
|
| Series: | London Mathematical Society lecture note series
197 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xi, 412 pages) |
| ISBN: | 9780511629358 |
| DOI: | 10.1017/CBO9780511629358 |
Staff View
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| 520 | |a Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers | ||
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| id | DE-604.BV043941465 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:15Z |
| institution | BVB |
| isbn | 9780511629358 |
| language | English |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xi, 412 pages) |
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| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | London Mathematical Society lecture note series |
| series2 | London Mathematical Society lecture note series |
| spelling | Two-dimensional homotopy and combinatorial group theory edited by Cynthia Hog-Angeloni, Wolfgang Metzler and Allan J. Sieradski Two-Dimensional Homotopy & Combinatorial Group Theory Cambridge Cambridge University Press 1993 1 online resource (xi, 412 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 197 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers Homotopy theory Combinatorial group theory Low-dimensional topology Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd rswk-swf Homotopiemannigfaltigkeit (DE-588)4160627-9 gnd rswk-swf Kombinatorische Gruppentheorie (DE-588)4219556-1 s Homotopiemannigfaltigkeit (DE-588)4160627-9 s 1\p DE-604 Hog-Angeloni, Cynthia (DE-588)1157292216 edt Metzler, W. edt Sieradski, Allan J. edt Erscheint auch als Druckausgabe 978-0-521-44700-3 London Mathematical Society lecture note series 197 (DE-604)BV044784209 197 https://doi.org/10.1017/CBO9780511629358 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Two-dimensional homotopy and combinatorial group theory London Mathematical Society lecture note series Homotopy theory Combinatorial group theory Low-dimensional topology Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd Homotopiemannigfaltigkeit (DE-588)4160627-9 gnd |
| subject_GND | (DE-588)4219556-1 (DE-588)4160627-9 |
| title | Two-dimensional homotopy and combinatorial group theory |
| title_alt | Two-Dimensional Homotopy & Combinatorial Group Theory |
| title_auth | Two-dimensional homotopy and combinatorial group theory |
| title_exact_search | Two-dimensional homotopy and combinatorial group theory |
| title_full | Two-dimensional homotopy and combinatorial group theory edited by Cynthia Hog-Angeloni, Wolfgang Metzler and Allan J. Sieradski |
| title_fullStr | Two-dimensional homotopy and combinatorial group theory edited by Cynthia Hog-Angeloni, Wolfgang Metzler and Allan J. Sieradski |
| title_full_unstemmed | Two-dimensional homotopy and combinatorial group theory edited by Cynthia Hog-Angeloni, Wolfgang Metzler and Allan J. Sieradski |
| title_short | Two-dimensional homotopy and combinatorial group theory |
| title_sort | two dimensional homotopy and combinatorial group theory |
| topic | Homotopy theory Combinatorial group theory Low-dimensional topology Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd Homotopiemannigfaltigkeit (DE-588)4160627-9 gnd |
| topic_facet | Homotopy theory Combinatorial group theory Low-dimensional topology Kombinatorische Gruppentheorie Homotopiemannigfaltigkeit |
| url | https://doi.org/10.1017/CBO9780511629358 |
| volume_link | (DE-604)BV044784209 |
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