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On the Categorification of the Möbius Function

2014/02/10 by Rafael Díaz, Rafael Diaz, Diaz, Rafael
Mathematics · #Algebraic Topology (math.AT) #Category Theory (math.CT) #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications #math.AT #math.CO #math.CT

paper · pdf · doi:10.48550/arxiv.1402.2131

arxiv created 2014/02/10 · openalex publication_date 2014/02/10 · arxiv updated 2014/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In these notes we study several categorical generalizations of the Möbius function and discuss the relations between the various approaches. We emphasize the topological and geometric meaning of these constructions.

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