Beck-Chevalley Conditions in Simplicial Sets

2025/07/21 by Gaga Chakhvashvili, Chakhvashvili, Gaga
Computer Science · Mathematics · #18B40 #18N10 #18N50 #55U10 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #FOS: Mathematics #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2507.15341

openalex publication_date 2025/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe certain class of simplicial sets introduced by Dmitry Skvortsov and Valentin Shehtman; we call such simplicial sets Skvortsov-Shehtman complexes. An example of a Skvortsov-Shehtman complex that is not a Kan complexes is given.

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