- Here is your chance to catch up on the previous homework.
- Chapter 17, Problems 17.1, 17.6, 17.13.

- Complete the proof that homotopic maps induce the same map in De Rham cohomology.
- Ch. 16, Problems 16.5, 16.6.
- (if you didn't hand me that before) Chapter 10, Problem 10.1.

- Ch.8, problems 8.1, 8.2.
- Ch. 19, Problems 19.5, 19.6.

- Ch.8, problems 8.1, 8.2.
- Ch. 19, Problems 19.5, 19.6.

- Ch.8, problems 8.18, 8.19.
- Prove the Jacobi Identity for the Lie Bracket.

- Ch.6, problems 6.5, 6.9, 6.14, 6.16, 6,17.

- Ch.5, problems 5.4, 5.5, 5.15 and 5.19.

- Ch.4, problems 4.6, 4.7, 4.8 and 4.10.
- Ch.3, problems 3.1, 3.4, 3.7 and 3.8.

- Ch.2, problems 2.1, 2.6 and 2.11.
- Ch.1, problem 1.9.
- Reading assignment: last section of Chapter 1, "manifolds with boundary".

- Can there exist a homeomorphism from an open subset of Rn to an open subset of Rm if m is different than n? Prove it.
- Ch.1, problem 1.9.

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