On cellularization for simplicial presheaves and motivic homotopy
type: Item
instance of: scholarly article
title: On cellularization for simplicial presheaves and motivic homotopy
zbMATH Open document ID: 1114.55005
author: N. E. Zubov
published in: Topology and its Applications
publication date: 2007-04-18T00:00:00Z
review text: The technique of cellularisation generalises the approximation of topological spaces by CW complexes. The authors show that the cellularisation theory in model categories formulated in [\textit{A. Nofech}, J. Pure Appl. Algebra 141, No.~3, 249--267 (1999; Zbl 0934.18011)] can be applied to simplicial presheaves on small Grothendieck sites. They then apply their results to the motivic homotopy category of Morel and Voevodsky.
Mathematics Subject Classification ID: 55P60
Mathematics Subject Classification ID: 14F42
zbMATH DE Number: 5144534
zbMATH Keywords: cellularisation
zbMATH Keywords: simplial presheaf
zbMATH Keywords: Grothendieck site
zbMATH Keywords: motivic homotopy
reviewed by: Richard John Steiner
MaRDI profile type: Publication
full work available at URL: j.topol.2006.04.027
OpenAlex ID: W2146513658
cites work: Constructions of factorization systems in categories
cites work: Localizations of abelian Eilenberg-Mac Lane spaces of finite type
cites work: Cellular spaces, null spaces and homotopy localization
cites work: Motivic cell structures
cites work: Localization Theories for Simplicial Presheaves
cites work: Q4220599
cites work: Simplicial presheaves
cites work: Boolean localization, in practice
cites work: Motivic symmetric spectra
cites work: Q5550390
cites work: \(\mathbb{A}^1\)-homotopy theory of schemes
cites work: \(A\)-cellular homotopy theories
cites work: Homotopical algebra
cites work: Chow groups, Chow cohomology, and linear varieties
cites work: \(\mathbb{A}^1\)-homotopy theory
DOI: 10.1016/J.TOPOL.2006.04.027
description: scientific article; zbMATH DE number 5144534