一般拓扑学讲义（Lecture Notes on General Topology）（英文版）

样章

作者：

王国亮

定价：

59.00元

ISBN：

978-7-04-052749-0

版面字数：

250.000千字

开本：

16开

全书页数：

暂无

装帧形式：

平装

重点项目：

暂无

出版时间：

2019-10-28

读者对象：

学术著作

一级分类：

自然科学

二级分类：

数学与统计

三级分类：

拓扑学

册数：

暂无

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