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作者 Krantz, Steven G
書名 Guide to Topology
出版項 Washington : American Mathematical Society, 2009
©2009
國際標準書號 9780883859179 (electronic bk.)
9780883853467
book jacket
說明 1 online resource (120 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Dolciani Mathematical Expositions ; v.40
Dolciani Mathematical Expositions
附註 Intro -- 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 -- 2.4 First Countable, Second Countable, and So Forth -- 2.5 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 -- Bibliography -- Index -- About the Author
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
鏈接 Print version: Krantz, Steven G. Guide to Topology Washington : American Mathematical Society,c2009 9780883853467
主題 Topology
Electronic books
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