Illustrated introduction to topology and homotopy / Sasho Kalajdzievski.

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.

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.