8 problems.
- Compact subsets of Hausdorff spaces are closed — Spring 2008.1
- An example of a connected space that is not path-connected — Spring 2008.2
- A quotient of a Hausdorff space that is not Hausdorff
- Homotopy classes of self-maps of \(S^1\vee S^1\) with and without fixed points
- The commutator cover of a genus-\(2\) surface: regularity, deck transformations, and a loop lifting trivially
- Fundamental group of \(\RR^3\) minus the \(z\)-axis and the unit circle in the \(xy\)-plane
- The twist \(f(e^{i\theta},s)=(e^{i(\theta+2\pi s)},s)\) of \(S^1\times[0,1]\) is homotopic to the identity relative to one boundary circle but not both
- Homology of two solid tori glued by the identity along the boundary torus — Spring 2008.8