Topology / James R. Munkres.
Material type:
TextPublication details: Upper Saddle River, NJ : Prentice Hall, Inc. c2000.Edition: 2nd edDescription: xvi, 537 p. : ill. ; 25 cmISBN: - 9780131816299
- 514 22
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Main library General Stacks | 514 / MU.T 2000 (Browse shelf(Opens below)) | 1 | Available | 000132 |
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| 513.12 / LI.D 2007 Developmental mathematics : | 513.93 / BE.C 1988 Contemporary business mathematics / | 514 / KR.E 2010 Essentials of topology with applications / | 514 / MU.T 2000 Topology / | 514 / PA.F 2009 Foundations of topology / | 515 / AD.C 2010 Calculus : a complete course/ | 515 / AR.M 1993 Mathematical analysis for business, economics, and the life and social sciences / |
Includes bibliographical references (p. 517-518) and index.
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 in the Plane The Seifert-van Kampen Theorem Classification of Surfaces Classification of Covering Spaces Applications to Group Theory Index Table of Contents provided by Publisher. All Rights Reserved.
This 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
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