Topology is a branch of pure mathematics that deals with the abstract relationships found in geometry and analysis. Written with the mature student in mind, Foundations of Topology, Second Edition, provides a user-friendly, clear, and concise introduction to this fascinating area of mathematics. The author introduces topics that are well-motivated with thorough proofs, that make them easy to follow. Historical comments are dispersed throughout the text, and exercises, varying in degree of difficulty, are found at the end of each chapter. Foundations of Topology is an excellent text for teaching students how to develop the skills for writing clear and precise proofs. 

1. Topological Spaces 2. New Spaces from Old Ones 3. Connectedness 4. Compactness 5. The Separation and Countability Axiom 6. Special Topics 7. Metrizability and Paracompactness 8. The Fundamental Group and Covering Spaces 9. Applications of Homotopy Appendix A: Logic and Proofs Appendix B: Sets Appendix C: Functions Appendix D: Indexing Sets and Cartesian Products Appendix E. Equivalence Relations and Order Relations Appendix F. Countable Sets Appendix G. Uncountable Sets Appendix H. Ordinal and Cardinal Numbers Appendix I. Algebra

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