8 problems.
- The set \(\{f\le g\}\) is closed, and \(\min\{f,g\}\) is continuous
- A point and a disjoint compact set in a Hausdorff space can be separated by opens
- A product of locally path-connected spaces is locally path-connected
- Identifying one point from each of two disjoint connected spaces yields a connected quotient
- Surjectivity of \(i_*\) on \(\pi_1\) lets paths with endpoints in \(A\) be homotoped into \(A\)
- Fundamental group of a torus with a disk attached along the diagonal
- An index-3 subgroup of a finitely presented group is finitely presented
- Homology of \(\Delta^2\) with vertices identified