Existence of continuous right inverses to linear mappings in finite-dimensional geometry
Christer O. Kiselman, Erik Melin · Mathematische Semesterberichte · 2020
Abstract A linear mapping of a compact convex subset of a finite-dimensional vector space always possesses a right inverse, but may lack a continuous right inverse, even if the set is smoothly bounded. Examples showing this are given, as well as conditions guaranteeing the existence of a continuous right inverse.