Foundations of Topology
Book information
Description
This book is written with the mathematically mature student in mind, 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, making them easy to follow. Historical comments are dispersed throughout the text, and exercises that vary 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 necessary for writing clear and precise proofs. 1. Topological Spaces. 2. New spaces from old ones. 3. Connectedness . 4. Compactness . 5. The Separation and Countability Axioms. 6. Special Topics. 7. Metrisability and Paracompactness. 8. The foundamental Group and covering spaces. 9. Applications of Homotopy. 10. Appendices.
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