7 problems.
- The continuous image of a compact space is compact — Part I Problem 1; repeated exactly as the canonical continuous-image-of-compact exercise
- Products of Hausdorff spaces are Hausdorff — Part I Problem 2; repeated exactly as the canonical product-Hausdorff exercise
- Explicit path homotopy from a path followed by its reverse to the constant path — Part I Problem 3
- Examples and impossibilities relating homotopy, retracts, and low homology groups — Part II Problem 1
- Fundamental groups, universal covers, and simplicial homology of standard spaces — Part II Problem 2
- Change of basepoint isomorphism for the fundamental group — Part II Problem 3
- Uniqueness of lifts from a connected space — Part II Problem 4