Homology Theory: An Introduction to Algebraic Topology
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1994
|
| Edition: | Second Edition |
| Series: | Graduate Texts in Mathematics
145 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent interest in an intuitive treatment of the basic ideas. This second edition has been expanded through the addition of a chapter on covering spaces. By analysis of the lifting problem it introduces the funda mental group and explores its properties, including Van Kampen's Theorem and the relationship with the first homology group. It has been inserted after the third chapter since it uses some definitions and results included prior to that point. However, much of the material is directly accessible from the same background as Chapter 1, so there would be some flexibility in how these topics are integrated into a course. The Bibliography has been supplemented by the addition of selected books and historical articles that have appeared since 1973 |
| Physical Description: | 1 Online-Ressource (XIV, 245 p) |
| ISBN: | 9781461208815 9781461269335 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-0881-5 |
Staff View
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| spelling | Vick, James W. Verfasser aut Homology Theory An Introduction to Algebraic Topology by James W. Vick Second Edition New York, NY Springer New York 1994 1 Online-Ressource (XIV, 245 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 145 0072-5285 The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent interest in an intuitive treatment of the basic ideas. This second edition has been expanded through the addition of a chapter on covering spaces. By analysis of the lifting problem it introduces the funda mental group and explores its properties, including Van Kampen's Theorem and the relationship with the first homology group. It has been inserted after the third chapter since it uses some definitions and results included prior to that point. However, much of the material is directly accessible from the same background as Chapter 1, so there would be some flexibility in how these topics are integrated into a course. The Bibliography has been supplemented by the addition of selected books and historical articles that have appeared since 1973 Mathematics Topology Mathematik Topologie (DE-588)4060425-1 gnd rswk-swf Homologie (DE-588)4141951-0 gnd rswk-swf Homologische Algebra (DE-588)4160598-6 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Homologietheorie (DE-588)4141714-8 s 2\p DE-604 Algebraische Topologie (DE-588)4120861-4 s 3\p DE-604 Homologische Algebra (DE-588)4160598-6 s 4\p DE-604 Homologie (DE-588)4141951-0 s 5\p DE-604 Topologie (DE-588)4060425-1 s 6\p DE-604 https://doi.org/10.1007/978-1-4612-0881-5 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vick, James W. Homology Theory An Introduction to Algebraic Topology Mathematics Topology Mathematik Topologie (DE-588)4060425-1 gnd Homologie (DE-588)4141951-0 gnd Homologische Algebra (DE-588)4160598-6 gnd Homologietheorie (DE-588)4141714-8 gnd Algebraische Topologie (DE-588)4120861-4 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4141951-0 (DE-588)4160598-6 (DE-588)4141714-8 (DE-588)4120861-4 (DE-588)4151278-9 |
| title | Homology Theory An Introduction to Algebraic Topology |
| title_auth | Homology Theory An Introduction to Algebraic Topology |
| title_exact_search | Homology Theory An Introduction to Algebraic Topology |
| title_full | Homology Theory An Introduction to Algebraic Topology by James W. Vick |
| title_fullStr | Homology Theory An Introduction to Algebraic Topology by James W. Vick |
| title_full_unstemmed | Homology Theory An Introduction to Algebraic Topology by James W. Vick |
| title_short | Homology Theory |
| title_sort | homology theory an introduction to algebraic topology |
| title_sub | An Introduction to Algebraic Topology |
| topic | Mathematics Topology Mathematik Topologie (DE-588)4060425-1 gnd Homologie (DE-588)4141951-0 gnd Homologische Algebra (DE-588)4160598-6 gnd Homologietheorie (DE-588)4141714-8 gnd Algebraische Topologie (DE-588)4120861-4 gnd |
| topic_facet | Mathematics Topology Mathematik Topologie Homologie Homologische Algebra Homologietheorie Algebraische Topologie Einführung |
| url | https://doi.org/10.1007/978-1-4612-0881-5 |
| work_keys_str_mv | AT vickjamesw homologytheoryanintroductiontoalgebraictopology |