10 problems.
- The pasting lemma for two closed subspaces
- A quotient with connected base and connected fibers is connected
- Products of closed sets and the product topology
- Hausdorffness of the radial quotient of the closed disk
- Compactness of the closed unit interval
- Strong deformation retracts induce fundamental-group isomorphisms
- \(\RR\not\cong\RR^2\) and \(\RR^2\not\cong\RR^3\)
- Fundamental group of two spheres with corresponding poles identified
- Universal cover and fundamental group of \(S^1\vee\mathbb{R}P^2\)
- \(\mathbb R^2\) does not retract onto \(S^1\)