Semitopological Barycentric Algebras

Published 14 Dec 2025 in math.FA and cs.LO | (2512.12865v1)

Abstract: 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.

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Jean Goubault-Larrecq

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