Topology
Bridging between general and algebraic topology courses, this text begins with set theory, moves on to a thorough treatment of topological spaces, then explores connectedness and compactness. Exercises are varied in difficulty from the routine to the challenging.
Print Book, English, ©2000
Prentice Hall, Inc., Upper Saddle River, NJ, ©2000
xvi, 537 p. : il. ; 25 cm
9780131816299, 9780131784499, 0131816292, 0131784498
318380171
I. GENERAL TOPOLOGY. 1. Set Theory and Logic. 2. Topological Spaces and Continuous Functions. 3. Connectedness and Compactness. 4. Countability and Separation Axioms. 5. The Tychonoff Theorem. 6. Metrization Theorems and Paracompactness. 7. Complete Metric Spaces and Function Spaces. 8. Baire Spaces and Dimension Theory. II. ALGEBRAIC TOPOLOGY. 9. The Fundamental Group. 10. Separation Theorems in the Plane. 11. The Seifert-van Kampen Theorem. 12. Classification of Surfaces. 13. Classification of Covering Spaces. 14. Applications to Group Theory. Index.