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Topology

By: Munkres, James R.
Material type: materialTypeLabelBookPublisher: Malaysia Sdn. Bhd. Pearson c2013Edition: 2nd edition.Description: 504 pages.ISBN: 9789673498383.Subject(s): | DDC classification: 514
Contents:
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
Summary: 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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514 MUN-T 2013 12530 Topology 514 MUN-T 2013 12531 Topology 514 MUN-T 2013 12532 Topology 514 MUN-T 2013 12533 Topology 518.028553 ATT-M 2013 10223 MATLAB : 519.2 HOG-P 2006 12354 Probability and statistical inference / 519.40285513 CHA-M 2008 12099 MATLAB programming for engineers /

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.

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