Topology

This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology.

For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

• Chapter 1. Set Theory and Logic
• Chapter 2. Topological Spaces and Continuous Functions
• Chapter 3. Connectedness and Compactness
• Chapter 4. Countability and Separation Axioms
• Chapter 5. The Tychonoff Theorem
• Chapter 6. Metrization Theorems and Paracompactness
• Chapter 7. Complete Metric Spaces and Function Spaces
• Chapter 8. Baire Spaces and Dimension Theory
• Chapter 9. The Fundamental Group
• Chapter 10. Separation Theorems in the Plane
• Chapter 11. The Seifert-van Kampen Theorem
• Chapter 13. Classification of Covering Spaces
• Chapter 12. Classification of Surfaces