A Model Categoric Equivalence for Crossed Simplicial Modules

2024/02/29 by Haydar Can Kaya, Kaya, Haydar Can, Atabey Kaygun +1
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.2402.19291

Abstract

We construct a model categorical equivalence between the category of simplicial vector spaces and the category of representations of a crossed simplicial group ΔG when each G_n is finite and the characteristic of the ground field is 0.

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