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A Guide to Topology /
A Guide to Topology is an introduction to basic topology. It covers point-set topology as well as Moore-Smith convergence and function spaces. It treats continuity, compactness, the separation axioms, connectedness, completeness, the relative topology, the quotient topology, the product topology, an...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
|
| Colección: | Dolciani mathematical expositions.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Krantz, Steven G. |q (Steven George), |d 1951- |1 https://id.oclc.org/worldcat/entity/E39PBJw8VQ7cxG48KCfPym3RKd | |
| 245 | 1 | 2 | |a A Guide to Topology / |c Steven G. Krantz. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2012. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Dolciani Mathematical Expositions ; |v v. 40 | |
| 500 | |a Title from publishers bibliographic system (viewed on 30 Jan 2012). | ||
| 504 | |a ""Bibliography""""Index""; ""About the Author"" | ||
| 505 | 0 | |a Preface -- Contents -- 1 Fundamentals -- 1.1 What is Topology? -- 1.2 First Definitions -- 1.3 Mappings -- 1.4 The Separation Axioms -- 1.5 Compactness -- 1.6 Homeomorphisms -- 1.7 Connectedness -- 1.8 Path-Connectedness -- 1.9 Continua -- 1.10 Totally Disconnected Spaces -- 1.11 The Cantor Set -- 1.12 Metric Spaces -- 1.13 Metrizability -- 1.14 Baire�s Theorem -- 1.15 Lebesgue�s Lemma and Lebesgue Numbers -- 2 Advanced Properties of Topological Spaces -- 2.1 Basis and Subbasis -- 2.2 Product Spaces -- 2.3 Relative Topology | |
| 505 | 8 | |a 2.4 First Countable, Second Countable, and So Forth2.5 Compactifications -- 2.6 Quotient Topologies -- 2.7 Uniformities -- 2.8 Morse Theory -- 2.9 Proper Mappings -- 2.10 Paracompactness -- 3 Moore-Smith Convergence and Nets -- 3.1 Introductory Remarks -- 3.2 Nets -- 4 Function Spaces -- 4.1 Preliminary Ideas -- 4.2 The Topology of Pointwise Convergence -- 4.3 The Compact-Open Topology -- 4.4 Uniform Convergence -- 4.5 Equicontinuity and the Ascoli-Arzela Theorem -- 4.6 The Weierstrass Approximation Theorem -- Table of Notation -- Glossary | |
| 520 | |a A Guide to Topology is an introduction to basic topology. It covers point-set topology as well as Moore-Smith convergence and function spaces. It treats continuity, compactness, the separation axioms, connectedness, completeness, the relative topology, the quotient topology, the product topology, and all the other fundamental ideas of the subject. The book is filled with examples and illustrations. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful research too. Steven Krantz is well-known for his skill in expository writing and this volume confirms it. He is the author of more than 50 books, and more than 150 scholarly papers. The MAA has awarded him both the Beckenbach Book Prize and the Chauvenet Prize. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Topology. | |
| 650 | 6 | |a Topologie. | |
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| 650 | 7 | |a Topology |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Krantz, Steven G. |t Guide to Topology. |d Washington : Mathematical Association of America, ©2014 |z 9780883853467 |
| 830 | 0 | |a Dolciani mathematical expositions. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3330376 |z Texto completo |
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