TY - BOOK AU - Kalajdzievski,Sasho TI - Illustrated introduction to topology and homotopy SN - 9781439848159 (hbk.) U1 - 514 23 PY - 2015/// CY - Boca Raton PB - CRC Press KW - Topology KW - Homotopy theory N1 - Includes bibliographical references and index; Part I: Topology; Chapter 1. Sets, Numbers, and Cardinals; Chapter 2. Metric Spaces: Definition, Examples, and Basics; Chapter 3. Topological Spaces: Definition and Examples; Chapter 4. Subspaces, Quotient Spaces, Manifolds, and CW-Complexes; Chapter 5. Products of Spaces; Chapter 6. Connected Spaces and Path Connected Spaces; Chapter 7. Compactness and Related Matters; Chapter 8. Separation Properties; Chapter 9. Urysohn, Tietze, and Stone-Cech; Part 2: Homotopy; Chapter 10. Isotopy and Homotopy. Chapter 11. The Fundamental Group of a Circle and Applications; Chapter 12. Combinatorial Group Theory; Chapter 13. Seifert-van Kampen Theorem and Applications; Chapter 14. On Classifying Manifolds and Related Topics; Chapter 15. Covering Spaces, Part 1; Chapter 16. Covering Spaces, Part 2; Chapter 17. Applications in Group Theory; Bibliography; List of Symbols; Index N2 - An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications. This self-contained book takes a visual and rigorous approach that incorporates both extensive illustrations and full proofs ER -