Munkres, James R.
Topology - 2nd edition - Malaysia Sdn. Bhd. Pearson c2013 - 504 pages
Including Bibliographical references and index
Table of Contents:
I. 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
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.
9789673498383
514
Topology - 2nd edition - Malaysia Sdn. Bhd. Pearson c2013 - 504 pages
Including Bibliographical references and index
Table of Contents:
I. 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
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.
9789673498383
514