前辅文
Chapter 1 Introduction
Exercises
Selected Solutions
Chapter 2 Topological Spaces
2.1 Topological structures
2.2 Subspace topology
2.3 Covers
2.4 Point position with respect to a set
2.5 Metrics and the metric topology
Exercises
Selected Solutions
Chapter 3 Continuous Maps and Homeomorphisms
3.1 Continuous maps
3.2 Homeomorphisms
3.3 Topological properties
Exercises
Selected Solutions
Chapter 4 Connectedness
4.1 Connected spaces
4.2 Path-Connectedness
Exercises
Selected Solutions
Chapter 5 Separation and Countability Axioms
5.1 Axioms T_0, T_1, T_2, T_3, and T_4
5.2 Hausdorff spaces
5.3 Regular spaces and normal spaces
5.4 Countability axioms
Exercises
Selected Solutions
Chapter 6 Compactness
6.1 Compact spaces
6.2 Interaction of compactness with other topological properties
6.3 Gromov-Hausdorff distance
Exercises 6
Selected Solutions 6
Chapter 7 Product Spaces and Quotient Spaces
7.1 Product spaces
7.2 Quotient spaces
Exercises 7
Selected Solutions 7
Appendix A Some Elementary Inequalities
Bibliography
Author Index
Subject Index
