Lecture 42
Hatcher, ch. 4, sec 1 (p340 - 343)
Discuss the following:
- Definition of higher homotopy groups.
- Prove the higher homotopy groups are abelian - explain Hatcher's
picture based argument.
- Define the induced map (middle of page 342).
- Prove Proposition 4.1. Use more detail than Hatcher does, and try to
phrase the proof in using the lifting theorems of Massey. Use this to
compute the higher homotopy groups of S^1 and T^2.
Ignore the material discussing the action of pi_1 on pi_n.