8 problems.
- The \(T_{2\frac12}\) property is inherited by subspaces
- \(q\times\mathrm{id}_I\) is continuous; the cone \(CX\) deformation-retracts to a point
- Compact sets with noncompact intersection in the infinite ray topology on \(\mathbb{R}\)
- The product of two locally connected spaces is locally connected
- Fundamental group and simplicial homology of a Möbius band with two boundary points identified
- If \(i_*:\pi_1(A)\to\pi_1(X)\) is surjective, points in a fiber of a covering are joined in \(p^{-1}(A)\)
- Finite-index subgroups of finitely presented groups are finitely presented
- \(H_i(SX)=H_{i-1}(X)\) for \(i>1\)