8 problems.
- Connected and locally connected spaces; a connected space that is not locally connected
- Hausdorffness of arbitrary products
- A map continuous on each of two closed sets covering \(X\) is continuous
- \(\RR^2\) is not homeomorphic to \(\RR^n\) for \(n>2\)
- Every continuous map \(\RP^2\to S^1\) is homotopic to a constant
- Integral homology of the union of the unit sphere and the ellipsoid \(x^2+y^2+z^2/4=1\)
- Closed surfaces with one \(0\)-cell and two \(1\)-cells
- Brouwer fixed-point theorem for \(B^2\)