About this product

Product Identifiers

PublisherPrentice Hall PTR

ISBN-100131816292

ISBN-139780131816299

eBay Product ID (ePID)73598

Product Key Features

Number of Pages537 Pages

LanguageEnglish

Publication NameTopology

Publication Year1999

SubjectTopology, Algebra / General

FeaturesRevised

TypeTextbook

Subject AreaMathematics

AuthorJames R. Munkres

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

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.

Edition DescriptionRevised edition

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.

LC Classification NumberQA611.M82 2000