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This is a minicourse on barycentric algebras that arose as a common generalization of algebraic models of convex sets and semilattices. First, we examine the algebraic aspects of barycentric algebras. Then, we focus on various examples and applications, reviewing the pertinence of the barycentric algebra structure.

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Barycentric Algebras: Convexity and Order

  • 会议论文

  • 发表日期：

    2025年

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  • Anna Zamojska-Dzienio

摘要

This is a minicourse on barycentric algebras that arose as a common generalization of algebraic models of convex sets and semilattices. First, we examine the algebraic aspects of barycentric algebras. Then, we focus on various examples and applications, reviewing the pertinence of the barycentric algebra structure.