Singular Homology Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1980
|
| Schriftenreihe: | Graduate Texts in Mathematics
70 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The main purpose of this book is to give a systematic treatment of singular homology and cohomology theory. It is in some sense a sequel to the author's previous book in this Springer-Verlag series entitled Algebraic Topology: An Introduction. This earlier book is definitely not a logical prerequisite for the present volume. However, it would certainly be advantageous for a prospective reader to have an acquaintance with some of the topics treated in that earlier volume, such as 2-dimensional manifolds and the funda mental group. Singular homology and cohomology theory has been the subject of a number of textbooks in the last couple of decades, so the basic outline of the theory is fairly well established. Therefore, from the point of view of the mathematics involved, there can be little that is new or original in a book such as this. On the other hand, there is still room for a great deal of variety and originality in the details of the exposition. In this volume the author has tried to give a straightforward treatment of the subject matter, stripped of all unnecessary definitions, terminology, and technical machinery. He has also tried, wherever feasible, to emphasize the geometric motivation behind the various concepts |
| Beschreibung: | 1 Online-Ressource (XVI, 428 p) |
| ISBN: | 9781468492316 9781468492330 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4684-9231-6 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-9231-6 |
| format | Electronic eBook |
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| isbn | 9781468492316 9781468492330 |
| issn | 0072-5285 |
| language | English |
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| spelling | Massey, William S. Verfasser aut Singular Homology Theory by William S. Massey New York, NY Springer New York 1980 1 Online-Ressource (XVI, 428 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 70 0072-5285 The main purpose of this book is to give a systematic treatment of singular homology and cohomology theory. It is in some sense a sequel to the author's previous book in this Springer-Verlag series entitled Algebraic Topology: An Introduction. This earlier book is definitely not a logical prerequisite for the present volume. However, it would certainly be advantageous for a prospective reader to have an acquaintance with some of the topics treated in that earlier volume, such as 2-dimensional manifolds and the funda mental group. Singular homology and cohomology theory has been the subject of a number of textbooks in the last couple of decades, so the basic outline of the theory is fairly well established. Therefore, from the point of view of the mathematics involved, there can be little that is new or original in a book such as this. On the other hand, there is still room for a great deal of variety and originality in the details of the exposition. In this volume the author has tried to give a straightforward treatment of the subject matter, stripped of all unnecessary definitions, terminology, and technical machinery. He has also tried, wherever feasible, to emphasize the geometric motivation behind the various concepts Mathematics Geometry, algebraic Algebraic Geometry Mathematik Homologie (DE-588)4141951-0 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Singuläre Homologietheorie (DE-588)4181520-8 gnd rswk-swf Homologietheorie (DE-588)4141714-8 s 1\p DE-604 Singuläre Homologietheorie (DE-588)4181520-8 s 2\p DE-604 Homologie (DE-588)4141951-0 s 3\p DE-604 https://doi.org/10.1007/978-1-4684-9231-6 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 | Massey, William S. Singular Homology Theory Mathematics Geometry, algebraic Algebraic Geometry Mathematik Homologie (DE-588)4141951-0 gnd Homologietheorie (DE-588)4141714-8 gnd Singuläre Homologietheorie (DE-588)4181520-8 gnd |
| subject_GND | (DE-588)4141951-0 (DE-588)4141714-8 (DE-588)4181520-8 |
| title | Singular Homology Theory |
| title_auth | Singular Homology Theory |
| title_exact_search | Singular Homology Theory |
| title_full | Singular Homology Theory by William S. Massey |
| title_fullStr | Singular Homology Theory by William S. Massey |
| title_full_unstemmed | Singular Homology Theory by William S. Massey |
| title_short | Singular Homology Theory |
| title_sort | singular homology theory |
| topic | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Homologie (DE-588)4141951-0 gnd Homologietheorie (DE-588)4141714-8 gnd Singuläre Homologietheorie (DE-588)4181520-8 gnd |
| topic_facet | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Homologie Homologietheorie Singuläre Homologietheorie |
| url | https://doi.org/10.1007/978-1-4684-9231-6 |
| work_keys_str_mv | AT masseywilliams singularhomologytheory |