# Problem Sheet I

This Problem Sheet is based on Lectures 16 and 17.

- Problem 1 asks you to show that Leibniz operators are local operators but not point operators.
- Problem 2 is a generalisation of Proposition 16.25.
- Problem 3 gives an alternative way to characterise tensor fields.
- Problem 4 asks you prove that the important presheaves in differential geometry are sheaves.
- Problem 5 introduces the notion of a
*vertical bundle*, which will be very useful when we discuss connections in Differential Geometry II.

Comments and questions?