8 problems.
- The product of two compact spaces is compact — Problem 1
- A connected space is joined by a simple chain of sets from any open cover
- A cellular half-turn of the torus, and the quotient by identifying \(x\) with \(\tau(x)\)
- The nerve of a drawn collection of four sets, and its homology
- A continuous vector field on the disk with outward boundary data has a zero
- Klein bottle as two annuli, and its homology via Mayer–Vietoris
- Fundamental group of \(\RP^2\#\RP^2\#\RP^2\)
- Deck transformations of a strip with quotient a Möbius band