Overcategories and undercategories of cofibrantly generated model categories
type: Item
instance of: scholarly article
title: Overcategories and undercategories of cofibrantly generated model categories
zbMATH Open document ID: 1484.55023
author: Philip Hirschhorn
published in: Journal of Homotopy and Related Structures
publication date: 2022-01-10T00:00:00Z
review text: Let \(\mathcal{M}\) be a model category and let \(Z\) be an object of \(\mathcal{M}\). The author proves that if \(\mathcal{M}\) is cofibrantly generated, cellular, left proper, or right proper, then the model categories \((\mathcal{M}\downarrow Z)\) and \((Z\downarrow\mathcal{M})\) are both cofibrantly generated, cellular, left proper, or right proper. This paper is a complement of the author's book [Model categories and their localizations. Providence, RI: American Mathematical Society (AMS) (2003; Zbl 1017.55001)].
reviewed by: Philippe Gaucher
Mathematics Subject Classification ID: 55U35
Mathematics Subject Classification ID: 18N40
Mathematics Subject Classification ID: 18E35
Mathematics Subject Classification ID: 18N55
zbMATH DE Number: 7454727
zbMATH Keywords: model category
zbMATH Keywords: cellular model category
zbMATH Keywords: cofibrantly generated
MaRDI profile type: Publication
full work available at URL: s40062-021-00294-4
OpenAlex ID: W3207455100
cites work: Q4790109
cites work: Q3113883
cites work: Homotopical algebra
DOI: 10.1007/S40062-021-00294-4
description: scientific article; zbMATH DE number 7454727