Problem Sheet A
This Problem Sheet is based on Lecture 1.
- Problems 1-4 ask to you to prove that various “common” spaces are smooth manifolds.
- Problems 5-6 give two examples of spaces that fail to be manifolds.
- Problem 7 shows that a manifold can admit more than one smooth structure. (I will say a bit more about diffeomorphism classes next lecture).
Comments and questions?