vix.ing · top · new · best · stats · spec

Localisation of cubical model categories

2021/04/19 by Brice Le Grignou, Grignou, Brice Le
Mathematics · #18D20 #18N50 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2104.09601

openalex publication_date 2021/04/19 · openalex created_date 2021/04/26 · openalex updated_date 2026/07/28

Abstract

In this article we introduce the notion of a square structure on a model category, that generalises cubical model categories. We then show that under some homotopical conditions on this square structure the induced cubical category is a localisation of the model category.

Related