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This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences.
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Product Identifiers
PublisherPrentice Hall PTR
ISBN-100131816292
ISBN-139780131816299
eBay Product ID (ePID)73598
Product Key Features
Number of Pages537 Pages
Publication NameTopology
LanguageEnglish
SubjectTopology, Algebra / General
Publication Year1999
FeaturesRevised
TypeTextbook
AuthorJames R. Munkres
Subject AreaMathematics
FormatHardcover
Dimensions
Item Height1 in
Item Weight33.6 Oz
Item Length9.5 in
Item Width7.2 in
Additional Product Features
Edition Number2
Intended AudienceCollege Audience
LCCN99-052942
Dewey Edition21
IllustratedYes
Dewey Decimal514
Edition DescriptionRevised edition
Table Of ContentI. GENERAL TOPOLOGY. 1. Set Theory and Logic. 2. Topological Spaces and Continuous Functions. 3. Connectedness and Compactness. 4. Countability and Separation Axioms. 5. The Tychonoff Theorem. 6. Metrization Theorems and Paracompactness. 7. Complete Metric Spaces and Function Spaces. 8. Baire Spaces and Dimension Theory. II. ALGEBRAIC TOPOLOGY. 9. The Fundamental Group. 10. Separation Theorems in the Plane. 11. The Seifert-van Kampen Theorem. 12. Classification of Surfaces. 13. Classification of Covering Spaces. 14. Applications to Group Theory. Index.
SynopsisThis introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications., For a senior undergraduate or first year graduate-level course in Introduction to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses treating each topic separately. This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-semester course and are based around the same set of basic, core topics. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences.