Geometry and Topology Review Questions
Fundamental Groups
Hatcher, p. 52ff, nos. 7, 8 (What is the homeomorphism type of this space?), 10, 14.
Covering Spaces
Hatcher, p. 54, no. 14 (Find all connected covering spaces), p. 79ff, nos.
4. 12. 14, 21, 27.
Basic Manifolds
Bredon, p, 76, nos. 1, 2; p. 80, nos. 1, 4; p. 82, nos. 1-3; p. 86, nos.
1-4; p. 89, nos. 1, 3.
Bundles
The text and problems of the first chapter of Alan Hatcher's text on
K-theory gives a basic introduction. See
Chapters 3 and 5 of "Characteristic Classes" by Milnor & Stasheff also provide
good reviews and problems.