8 problems.
- Sequences with eventually vanishing positive tail are dense and not compact in \(\prod_{\ZZ}[0,1]\)
- Open connected subsets of \(\RR^n\) are path-connected
- A continuous map with a section is a quotient map
- A map with left and right homotopy inverses is a homotopy equivalence
- A map of path-connected covering spaces over the same base is a covering map
- A finitely presented group has finitely many subgroups of index \(4\)
- Simplicial homology of \(\Delta^3\) after two ordered face pairings
- Reduced singular homology of \(S^1\times(S^1\vee S^1)\)