Appendix C.2: Vector bundles and their sections
Channel: Alexander Schmeding
Date: 2020-10-06

We review basic material on vector bundles and their sections. Our aim is to topologise the sections of a vector bundle (with locally convex fibre) as locally convex vector spaces. This is auxiliary material for the construction of manifolds of mappings.
We also recall the construction of pullback bundles and the Whitney sum of two vector bundles.

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/).