A Guide to Topology
(eBook)
Author:
Published:
Cambridge : Cambridge University Press, 2012.
Format:
eBook
ISBN:
9780883859179, 0883859173
Physical Desc:
1 online resource
Status:
Ebsco (CCU)
Description
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.
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Citations
APA Citation (style guide)
Krantz, S. G. 1. (2012). A Guide to Topology. Cambridge, Cambridge University Press.
Chicago / Turabian - Author Date Citation (style guide)Krantz, Steven G. 1951-. 2012. A Guide to Topology. Cambridge, Cambridge University Press.
Chicago / Turabian - Humanities Citation (style guide)Krantz, Steven G. 1951-, A Guide to Topology. Cambridge, Cambridge University Press, 2012.
MLA Citation (style guide)Krantz, Steven G. 1951-. A Guide to Topology. Cambridge, Cambridge University Press, 2012.
Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
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Language:
English
Notes
General Note
Title from publishers bibliographic system (viewed on 30 Jan 2012).
Bibliography
""Bibliography""""Index""; ""About the Author""
Description
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.
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Grouped Work ID:
71013b50-18ff-8d9b-6c6a-c90b1076b8ee
Record Information
| Last File Modification Time | Apr 05, 2024 09:30:10 PM |
|---|---|
| Last Grouped Work Modification Time | Apr 05, 2024 09:12:39 PM |
MARC Record
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| 245 | 1 | 2 | |a A Guide to Topology /|c Steven G. Krantz. |
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| 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. | ||
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