The cubical category with connections is a strict test category
type: Item
instance of: scholarly article
title: The cubical category with connections is a strict test category
zbMATH Open document ID: 1213.18009
author: Georges Maltsiniotis
published in: Homology, Homotopy and Applications
publication date: 2010-01-29T00:00:00Z
full work available at URL: http://intlpress.com/hha/v11/n2/a15/pdf
review text: The author shows that the cubical category with connections is a strict test category in the sense of Grothendieck, where connections are certain operations similar to degeneracies. This means that cubical sets with connections are models for homotopy theory in the same way as simplicial sets, with good behaviour on products. The category of cubes (without connections) is a test category, but the author shows that it is not a strict test category.
Mathematics Subject Classification ID: 18G55
Mathematics Subject Classification ID: 18D10
Mathematics Subject Classification ID: 55P15
Mathematics Subject Classification ID: 55U35
zbMATH DE Number: 5664826
zbMATH Keywords: test category
zbMATH Keywords: cubical set with connections
zbMATH Keywords: models for homotopy theory
reviewed by: Richard John Steiner
MaRDI profile type: Publication
OpenAlex ID: W2027905417
DOI: 10.4310/HHA.2009.V11.N2.A15
description: scientific article; zbMATH DE number 5664826