T\(_{0}\)-reflection and injective hulls of fibre spaces
type: Item
instance of: scholarly article
title: T\(_{0}\)-reflection and injective hulls of fibre spaces
zbMATH Open document ID: 1029.18005
DOI: 10.1016/S0166-8641(02)00370-X
published in: Topology and its Applications
publication date: 2003-09-04T00:00:00Z
review text: In their previous paper [\textit{F. Cagliari} and \textit{S. Mantovani}, ibid. 125, 525-532 (2002; Zbl 1023.18014)], the authors studied injective objects in the category \({\mathcal T}op_0/A\) of topological \(T_0\)-spaces over a space \(A\). Now, they do the same for topological spaces using their \(T_0\)-reflection. The existence of injective hulls is described as well (injectivity in slice categories \(\mathcal K/A\) is related to weak factorization systems in \(\mathcal K\) and has originated in homotopy theory).
Mathematics Subject Classification ID: 18B30
Mathematics Subject Classification ID: 55R05
Mathematics Subject Classification ID: 18G05
Mathematics Subject Classification ID: 18A32
Mathematics Subject Classification ID: 54B30
zbMATH DE Number: 1974766
zbMATH Keywords: injective object
zbMATH Keywords: injctive hull
zbMATH Keywords: topological space
zbMATH Keywords: slice categories
zbMATH Keywords: weak factorization systems
Wikidata QID: Q114121908
author: Francesca Cagliari
author: Sandra Mantovani
reviewed by: Jiří Rosický
MaRDI profile type: Publication
cites work: Weak factorization systems and topological functors
cites work: Q3691902
cites work: Injective topological fibre spaces
cites work: Exponentiable morphisms, partial products and pullback complements
cites work: Cartesianness: topological spaces, uniform spaces, and affine schemes
cites work: Essential weak factorization systems
cites work: Q4147264
full work available at URL: s0166-8641(02)00370-x
OpenAlex ID: W2065442381
description: scientific article; zbMATH DE number 1974766