Reinier Díaz Millán, The intrinsic core and minimal faces of convex sets in general vector spaces

Abstract: Intrinsic core generalises the finite-dimensional notion of the relative interior to arbitrary (real) vector spaces. Our main goal is to provide a self-contained overview of the key results pertaining to the intrinsic core and to elucidate the relations between intrinsic core and facial structure of convex sets in this general context.