一般拓扑学讲义（英文版）

This book concerns the continuity of maps，the connectedness and compactness of topological spaces，as well as the separation and countability axioms. Much of the book，which is accessible to students beyond their first year of undergraduate school，will interest graduate students and mathematicians who want to learn about and take advantage of basic notions along with examples and exercises in general topology. Professor Guoliang Wang works at Beijing Institute of Technology.One of his work in topological graph theory is awarded the First Prize of Excellent Papers of Youths by a sub-society in the Operations Research Society of China.

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

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