An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology

Sasho Kalajdzievski, Derek Krepski and Damjan Kalajdzievski

1. Sets, Cardinal Numbers, More on Sets. 2. Metric Spaces, Basics, Properties. 3. Definition Examples, Basics, Bases, Dense, Nowhere Dense Sets, Continous Functions. 4. Subspaces, Quotient Spaces, Sums of Spaces, Manifolds. 5. Finite Product Spaces, Infinite Product Spaces, Box Topology. 6. Connected Spaces, Properties of Connected Spaces, Path Connected and Properties, Locally Connected Spaces. 7. Compact Spaces, Properties, Around Compactness, Bolzano, Weristrass, Lebesque, Compactification, Tychonoff. 8. Separation Axioms, Regular Spaces and Normal Spaces. 9. Urysohn, Tietze, Stone Czech