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Semitopological Barycentric Algebras

Published: December 14, 2025 | arXiv ID: 2512.12865v1

By: 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 a previous study by Klaus Keimel on semitopological and topological cones (2008), which are special cases of semitopological and topological barycentric algebras.

Category
Mathematics:
Functional Analysis