8 problems.
- The intersection of two topologies is a topology; the union need not be
- Metric spaces are normal
- Fundamental group and classification of a sphere with \(k\) Möbius bands attached
- Coverings of \(\CP^n\) and the missing connectedness hypothesis
- \(\pi_1\) and the universal cover of the unit sphere union a diameter
- Homology of \(S^1\times\Sigma\) for a closed orientable surface of genus \(g\)
- Homology of \(S^2\) with equatorial antipodes identified
- Brouwer fixed-point theorem for \(B^2\) — Problem 8