2 papers
math.FA2026
Semitopological Barycentric Algebras
Jean Goubault-Larrecq
Barycentric algebras are an abstraction of the notion of convex sets, defined by a set of equations. We study semitopological and topological barycentric algebras, in the spirit of…
math.GN2026
Stone Duality for Preordered Topological Spaces
Jean Goubault-Larrecq
A preordered topological space is a topological space with a preordering. We exhibit a Stone-like duality for preordered topological spaces, Inspired by a similar duality for bitop…