Topology

Topology

5.0 1
by James R. Munkres
     
 

ISBN-10: 0131784498

ISBN-13: 9780131784499

Pub. Date: 07/28/2003

Publisher: Pearson Prentice Hall

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

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Overview

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.

Product Details

ISBN-13:
9780131784499
Publisher:
Pearson Prentice Hall
Publication date:
07/28/2003

Related Subjects

Table of Contents

Preface
A Note to the Reader
Pt. IGeneral Topology
Ch. 1Set Theory and Logic3
Ch. 2Topological Spaces and Continuous Functions75
Ch. 3Connectedness and Compactness147
Ch. 4Countability and Separation Axioms189
Ch. 5The Tychonoff Theorem230
Ch. 6Metrization Theorems and Paracompactness243
Ch. 7Complete Metric Spaces and Function Spaces263
Ch. 8Baire Spaces and Dimension Theory294
Pt. IIAlgebraic Topology
Ch. 9The Fundamental Group321
Ch. 10Separation Theorems in the Plane376
Ch. 11The Seifert-van Kampen Theorem407
Ch. 12Classification of Surfaces446
Ch. 13Classification of Covering Spaces477
Ch. 14Applications to Group Theory501
Bibliography517
Index519

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Topology 5 out of 5 based on 0 ratings. 1 reviews.
Guest More than 1 year ago
This second edition is an overwhelming victory over not only most other textbooks in this realm of mathematics but also over its predecessor first edition. What distinguishes this textbook from others is that there is a clear boundary set forth between the contents in general topology and algebraic topology as well as the lucid exposition of the abstract concepts encountered in topology. With a more thorough coverage of the subject, this second edition brings even more delightful surprises to anyone both ardent and serious about exploring the abstract realm of advanced mathematics!! I definitely keep this book along with the first edition that I had used for my first course in topology!