8 problems.
- A strictly finer topology on a compact Hausdorff space is Hausdorff but not compact
- Chain-connectedness of a path-connected space by an open cover
- A restricted projection that is a quotient map but neither open nor closed
- Homotopy respects composition, but a composite homotopy does not factor
- Deformation retraction of \(\RR^3\setminus S^1\) onto a sphere plus a polar segment
- A covering space of a Hausdorff space is Hausdorff
- Uniqueness of the 3-sheeted covering of \(S^1\)
- Homology of two spheres glued equator-to-equator