On idempotent convexities and idempotent barycenter maps

2023/08/14 by Dawid Krasiński, Krasiński, Dawid, Taras Radul +1
Mathematics · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.2308.07111

Abstract

We consider an isomorphism between the idempotent convexity based on the maximum and the addition operations and the idempotent measure convexity on the maximum and the multiplication operations. We use this isomorphism to investigate topological properties of the barycenter map related to the maximum and the multiplication operations.

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