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This article is available for purchase or by subscription. See below.
Abstract
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We construct a cofibrantly generated model structure on the category of spaces
stratified over a fixed poset, and show that it is Quillen-equivalent to a category of
diagrams of simplicial sets. Then, considering all those model structures together, we
construct a cofibrantly generated model structure on the category of all stratified
spaces. In both model categories, weak equivalences are characterized by stratified
homotopy groups.
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Keywords
stratified homotopy theory, stratified spaces, stratified
homotopy groups
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Mathematical Subject Classification
Primary: 18N40, 55U35, 57N80
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Publication
Received: 12 November 2019
Revised: 4 May 2020
Accepted: 25 May 2020
Published: 25 February 2021
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