Proper factorization systems in 2-categories
type: Item
instance of: scholarly article
title: Proper factorization systems in 2-categories
zbMATH Open document ID: 1016.18001
DOI: 10.1016/S0022-4049(02)00244-X
author: M. Dupont
author: E. M. Vitale
published in: Journal of Pure and Applied Algebra
publication date: 2003-04-09T00:00:00Z
review text: The authors introduce 4 variants of the notion of a proper factorization system in a 2-category \(\mathbb {C}\) and construct, for each of these, the free proper factorization system on \(\mathbb {C}\).
reviewed by: Horst Herrlich
Mathematics Subject Classification ID: 18A20
Mathematics Subject Classification ID: 18D05
Mathematics Subject Classification ID: 18A32
zbMATH DE Number: 1895980
zbMATH Keywords: proper factorization system
zbMATH Keywords: 2-category
zbMATH Keywords: free proper factorization
MaRDI profile type: Publication
cites work: On functors which are lax epimorphisms
cites work: Weak factorization systems and topological functors
cites work: Q3836493
cites work: Sheafifiable homotopy model categories
cites work: On the Freyd categories of an additive category
cites work: Q4856547
cites work: Galois theories
cites work: Modulated bicategories
cites work: Stable homotopy
cites work: Q4859897
cites work: Q5592097
cites work: Weak subobjects and the epi-monic completion of a category.
cites work: On the monad of proper factorisation systems in categories
cites work: Q4220599
cites work: Q3901650
cites work: Q4948681
cites work: Factorization systems as Eilenberg-Moore algebras
cites work: When do completion processes give rise to extensive categories?
cites work: Triangulated categories
cites work: Lax factorization algebras
cites work: Exact completion and representations in abelian categories
cites work: Two-dimensional sheaf theory
description: scientific article; zbMATH DE number 1895980