A Model Categoric Equivalence for Crossed Simplicial Modules
Algebraic Topology
2025-02-11 v3 Category Theory
Abstract
We construct a model categorical equivalence between the category of simplicial vector spaces and the category of representations of a crossed simplicial group when each is finite and the characteristic of the ground field is 0.
Cite
@article{arxiv.2402.19291,
title = {A Model Categoric Equivalence for Crossed Simplicial Modules},
author = {Haydar Can Kaya and Atabey Kaygun},
journal= {arXiv preprint arXiv:2402.19291},
year = {2025}
}