A Course in Homological Algebra:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1997
|
Ausgabe: | Second Edition |
Schriftenreihe: | Graduate Texts in Mathematics
4 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | We have inserted, in this edition, an extra chapter (Chapter X) entitled "Some Applications and Recent Developments." The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology. The other four sections describe applications of the methods and results of homological algebra to other parts of algebra. Most of the material presented in these four sections was not available when this text was first published. Naturally, the treatments in these five sections are somewhat cursory, the intention being to give the flavor of the homo logical methods rather than the details of the arguments and results. We would like to express our appreciation of help received in writing Chapter X; in particular, to Ross Geoghegan and Peter Kropholler (Section 3), and to Jacques Thevenaz (Sections 4 and 5). The only other changes consist of the correction of small errors and, of course, the enlargement of the Index. Peter Hilton Binghamton, New York, USA Urs Stammbach Zurich, Switzerland Contents Preface to the Second Edition vii Introduction. . I. Modules |
Beschreibung: | 1 Online-Ressource (XII, 366 p) |
ISBN: | 9781441985668 9781461264385 |
ISSN: | 0072-5285 |
DOI: | 10.1007/978-1-4419-8566-8 |
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500 | |a We have inserted, in this edition, an extra chapter (Chapter X) entitled "Some Applications and Recent Developments." The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology. The other four sections describe applications of the methods and results of homological algebra to other parts of algebra. Most of the material presented in these four sections was not available when this text was first published. Naturally, the treatments in these five sections are somewhat cursory, the intention being to give the flavor of the homo logical methods rather than the details of the arguments and results. We would like to express our appreciation of help received in writing Chapter X; in particular, to Ross Geoghegan and Peter Kropholler (Section 3), and to Jacques Thevenaz (Sections 4 and 5). The only other changes consist of the correction of small errors and, of course, the enlargement of the Index. Peter Hilton Binghamton, New York, USA Urs Stammbach Zurich, Switzerland Contents Preface to the Second Edition vii Introduction. . I. Modules | ||
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author | Hilton, Peter John 1923-2010 |
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discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4419-8566-8 |
edition | Second Edition |
format | Electronic eBook |
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spelling | Hilton, Peter John 1923-2010 Verfasser (DE-588)115702822 aut A Course in Homological Algebra by Peter J. Hilton, Urs Stammbach Second Edition New York, NY Springer New York 1997 1 Online-Ressource (XII, 366 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 4 0072-5285 We have inserted, in this edition, an extra chapter (Chapter X) entitled "Some Applications and Recent Developments." The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology. The other four sections describe applications of the methods and results of homological algebra to other parts of algebra. Most of the material presented in these four sections was not available when this text was first published. Naturally, the treatments in these five sections are somewhat cursory, the intention being to give the flavor of the homo logical methods rather than the details of the arguments and results. We would like to express our appreciation of help received in writing Chapter X; in particular, to Ross Geoghegan and Peter Kropholler (Section 3), and to Jacques Thevenaz (Sections 4 and 5). The only other changes consist of the correction of small errors and, of course, the enlargement of the Index. Peter Hilton Binghamton, New York, USA Urs Stammbach Zurich, Switzerland Contents Preface to the Second Edition vii Introduction. . I. Modules Mathematics K-theory K-Theory Mathematik Homologische Algebra (DE-588)4160598-6 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content 2\p (DE-588)4123623-3 Lehrbuch gnd-content Homologische Algebra (DE-588)4160598-6 s 3\p DE-604 Stammbach, Urs 1939- Sonstige (DE-588)13600279X oth https://doi.org/10.1007/978-1-4419-8566-8 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 | Hilton, Peter John 1923-2010 A Course in Homological Algebra Mathematics K-theory K-Theory Mathematik Homologische Algebra (DE-588)4160598-6 gnd |
subject_GND | (DE-588)4160598-6 (DE-588)4151278-9 (DE-588)4123623-3 |
title | A Course in Homological Algebra |
title_auth | A Course in Homological Algebra |
title_exact_search | A Course in Homological Algebra |
title_full | A Course in Homological Algebra by Peter J. Hilton, Urs Stammbach |
title_fullStr | A Course in Homological Algebra by Peter J. Hilton, Urs Stammbach |
title_full_unstemmed | A Course in Homological Algebra by Peter J. Hilton, Urs Stammbach |
title_short | A Course in Homological Algebra |
title_sort | a course in homological algebra |
topic | Mathematics K-theory K-Theory Mathematik Homologische Algebra (DE-588)4160598-6 gnd |
topic_facet | Mathematics K-theory K-Theory Mathematik Homologische Algebra Einführung Lehrbuch |
url | https://doi.org/10.1007/978-1-4419-8566-8 |
work_keys_str_mv | AT hiltonpeterjohn acourseinhomologicalalgebra AT stammbachurs acourseinhomologicalalgebra |