This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered problemsappearing in first part of the book (Topology). The primary targets of this manual are thestudents of topology. This set is not disjoint from the set of instructors of topologycourses, who may also find this manual useful as a source of examples, exam problems,etc.
Table of Contents
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