2025/12/14 by Goubault-Larrecq, Jean
#46A55 #52A01 #52A07 #54E99 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Logic in Computer Science (cs.LO)
paper · doi:10.48550/arxiv.2512.12865
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 a previous study by Klaus Keimel on semitopological and topological cones (2008), which are special cases of semitopological and topological barycentric algebras.