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Toposes of Discrete Monoid Actions

2019/05/24 by Morgan Rogers, Rogers, Morgan · 1 citation
Computer Science · Mathematics · #18A25 #20M30 #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1905.10277

openalex publication_date 2019/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Properties of toposes of right M-sets are studied, and these toposes are characterised up to equivalence by their canonical points. The solution to the corresponding Morita equivalence problem is presented in the form of an equivalence between a 2-category of monoids and the corresponding 2-category of toposes.

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