8 problems.
- Every compact metrizable space has a countable basis
- Path components are well-defined and need not be open or closed
- Collapsing the disk fibers of \(S^1\times D^2\) yields \(S^1\)
- Normality and compactness under a coarser topology
- Fundamental group of a disk with dihedral boundary identifications
- A covering space of a Hausdorff space is Hausdorff
- A finitely presented group has finitely many index-3 subgroups
- Homology of a torus attached to a cylinder along a circle