Appendix D: Vector fields and their Lie bracket
Channel: Alexander Schmeding
Date: 2021-01-19

We study basic properties of vector fields and endow the space of vector fields with the structure of a locally convex space. Then we prepare the construction of the Lie bracket of vector fields.

This is part of the course MAT331: Topics in Analysis at the University of Bergen in Fall 2020. 
This course (and the lecture) was supported by Trond Mohn foundation within the Pure Mathematics in Norway program (https://www.puremath.no/).