Topological and Uniform Spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1987
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide an outline of both the topological theory and the uniform theory, with an emphasis on the relation between the two. Although I hope that the prospective specialist may find it useful as an introduction it is the non-specialist I have had more in mind in selecting the contents. Thus I have tended to avoid the ingenious examples and counterexamples which often occupy much ofthe space in books on general topology, and I have tried to keep the number of definitions down to the essential minimum. There are no particular prerequisites but I have worked on the assumption that a potential reader will already have had some experience of working with sets and functions and will also be familiar with the basic concepts of algebra and analysis. There are a number of fine books on general topology, some of which I have listed in the Select Bibliography at the end of this volume. Of course I have benefited greatly from this previous work in writing my own account. Undoubtedly the strongest influence is that of Bourbaki's Topologie Generale [2], the definitive treatment of the subject which first appeared over a generation ago |
| Beschreibung: | 1 Online-Ressource (19 illus) |
| ISBN: | 9781461247166 9781461291282 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4612-4716-6 |
Internformat
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Datensatz im Suchindex
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| author | James, Ioan M. 1928- |
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| author_sort | James, Ioan M. 1928- |
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| discipline | Mathematik |
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| isbn | 9781461247166 9781461291282 |
| issn | 0172-6056 |
| language | English |
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| spelling | James, Ioan M. 1928- Verfasser (DE-588)119539888 aut Topological and Uniform Spaces by I. M. James New York, NY Springer New York 1987 1 Online-Ressource (19 illus) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide an outline of both the topological theory and the uniform theory, with an emphasis on the relation between the two. Although I hope that the prospective specialist may find it useful as an introduction it is the non-specialist I have had more in mind in selecting the contents. Thus I have tended to avoid the ingenious examples and counterexamples which often occupy much ofthe space in books on general topology, and I have tried to keep the number of definitions down to the essential minimum. There are no particular prerequisites but I have worked on the assumption that a potential reader will already have had some experience of working with sets and functions and will also be familiar with the basic concepts of algebra and analysis. There are a number of fine books on general topology, some of which I have listed in the Select Bibliography at the end of this volume. Of course I have benefited greatly from this previous work in writing my own account. Undoubtedly the strongest influence is that of Bourbaki's Topologie Generale [2], the definitive treatment of the subject which first appeared over a generation ago Mathematics Algebraic topology Algebraic Topology Mathematik Topologie (DE-588)4060425-1 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 gnd rswk-swf Uniformer Raum (DE-588)4137585-3 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Topologischer Raum (DE-588)4137586-5 s 2\p DE-604 Uniformer Raum (DE-588)4137585-3 s 3\p DE-604 Topologie (DE-588)4060425-1 s 4\p DE-604 https://doi.org/10.1007/978-1-4612-4716-6 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | James, Ioan M. 1928- Topological and Uniform Spaces Mathematics Algebraic topology Algebraic Topology Mathematik Topologie (DE-588)4060425-1 gnd Topologischer Raum (DE-588)4137586-5 gnd Uniformer Raum (DE-588)4137585-3 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4137586-5 (DE-588)4137585-3 (DE-588)4151278-9 |
| title | Topological and Uniform Spaces |
| title_auth | Topological and Uniform Spaces |
| title_exact_search | Topological and Uniform Spaces |
| title_full | Topological and Uniform Spaces by I. M. James |
| title_fullStr | Topological and Uniform Spaces by I. M. James |
| title_full_unstemmed | Topological and Uniform Spaces by I. M. James |
| title_short | Topological and Uniform Spaces |
| title_sort | topological and uniform spaces |
| topic | Mathematics Algebraic topology Algebraic Topology Mathematik Topologie (DE-588)4060425-1 gnd Topologischer Raum (DE-588)4137586-5 gnd Uniformer Raum (DE-588)4137585-3 gnd |
| topic_facet | Mathematics Algebraic topology Algebraic Topology Mathematik Topologie Topologischer Raum Uniformer Raum Einführung |
| url | https://doi.org/10.1007/978-1-4612-4716-6 |
| work_keys_str_mv | AT jamesioanm topologicalanduniformspaces |