10 problems.
- Source-sensitive interval-image theorem from the August 2004 Wesleyan exam
- Inclusion of path-component induces isomorphism on \(\pi_1\) — Problem 2; repeated exactly as Hatcher Exercise 1.1.11
- Fundamental group of two tori identified along a circle — Problem 3; repeated exactly as Hatcher Exercise 1.2.8
- Definition of a covering space and uniqueness of a based lift
- Classify a surface obtained from a labeled hexagon
- Cardinal invariants under closed subspaces
- Lindelöfness of products with and without metrizability
- Zero-dimensional spaces are exactly subspaces of generalized Cantor cubes
- Compactness and countable compactness of ordinal spaces \(W(\xi)\)
- Axiom of Choice and one of its standard equivalent maximality principles