Topology. Point-set and geometric. (English) Zbl 1120.54001

The author presents a modern course of introduction to topology. The book is divided into 11 chapters: 1. Introduction: Intuitive Topology. 2. Background on Sets and Functions. 3. Topological Spaces. 4. More on Open and Closed Sets and Continuous Functions. 5. New Spaces from Old. 6. Connected Spaces. 7. Compact Spaces. 8. Separation Axioms. 9. Metric Spaces. 10. The Classification of Surfaces. 11. Fundamental Groups and Covering Spaces.
Each chapter has a short introduction designed to motivate the ideas and place them into an appropriate context. Each section has a set of exercises, ranging in difficulty from easy to fairly challenging.


54-02 Research exposition (monographs, survey articles) pertaining to general topology