• Problems 1 highlights a crucial difference between connections and preconnections.
  • Problem 2 is an exercise in unravelling notation.
  • Problems 3 and 4 concern a specific connection on $TS^n$.
  • Problem 5 asks you to show that any bundle over an interval is trivial.
  • Problem 6 shows that Proposition 29.9 can be improved when working with a connection on a vector bundle.

Comments and questions?