• Sets and Numbers
• Metric and Topological Spaces
• From Old to New Spaces
• Very Special Spaces
• Function Spaces
• Topological Groups
• Special Groups
• Normality and Paracompactness
• The Fundamental Group
• Appendix A: Some Inequalities
• Appendix B: Binomial Equalities
• List of Symbols
The textbook is a very good start into the mathematical field of topology. A variety of topological concepts with some elementary applications are introduced. It is organized in such a way that the reader gets to significant applications quickly.
This revised version corrects the many discrepancies in the earlier edition. The emphasis is on the geometric understanding and the use of new concepts, indicating that topology is really the language of modern mathematics.