Appendix C: Canonical manifolds of mappings
Channel: Alexander Schmeding
Date: 2020-10-06

We recall the notion of canonical manifold of (smooth) mappings. Then we discuss the case of smooth mappings from a compact manifold with values in a locally convex space. We will see what properties of this example need to be abstracted to construct canonical manifolds of mappings.

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/).