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

part |2 pages

Part I: Topology

chapter 1|14 pages

n Sets, Numbers, and Cardinals

chapter 5|20 pages

n Products of Spaces

chapter 7|32 pages

n Compactness and Related Matters

chapter 8|14 pages

n Separation Properties

chapter 9|16 pages

n Urysohn, Tietze, and Stone–Čech

part |2 pages

Part 2: Homotopy

chapter 10|30 pages

n Isotopy and Homotopy

chapter 12|22 pages

n Combinatorial Group Theory

chapter 15|26 pages

n Covering Spaces, Part 1

chapter 16|32 pages

n Covering Spaces, Part 2

chapter 17|26 pages

n Applications in Group Theory