8 problems.
- Interior of a product equals the product of interiors
- A quotient with connected base and connected fibers is connected
- Continuity via \(f(\overline{A})\subseteq\overline{f(A)}\), and equality when \(f(\overline{A})\) is closed
- Compactness of the one-point compactification of \((0,1)\times(0,1)\)
- Fundamental group of the triangular parachute
- Products of covering spaces, and the universal cover of \(S^1\times D^2\times S^1\)
- Nonvanishing \(H_4\) forces a 4-simplex, and \(H_4\cong\mathbb{Z}/7\mathbb{Z}\) forces a 5-simplex
- Homology of the hexagon quotient with labels \(ababab\)