Infinite-dimensional geometry Chapter 2 Spaces and manifolds of smooth maps
Channel: Alexander Schmeding
Date: 2020-09-18

We begin the investigation of spaces and manifolds of smooth mappings. Out ultimate goal is to establish the so called exponential law. First we need some results on spaces of continuous mappings endowed with the compact open topology.

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/).