Hereditary coreflective subcategories of categories of topological spaces
type: Item
instance of: scholarly article
title: Hereditary coreflective subcategories of categories of topological spaces
zbMATH Open document ID: 1096.18003
author: Juraj Činčura
published in: Applied Categorical Structures
publication date: 2006-02-23T00:00:00Z
review text: Let \(\mathcal A\) be an epireflective subcategory of the category \(\mathcal Top\) of topological spaces that is not bireflective and \(\mathcal B\) be a coreflective subcategory of \(\mathcal A\). It is proved that \(\mathcal B\) is hereditary if and only if it is closed under the formation of prime factors. Some consequences of this result are presented.
reviewed by: Dexue Zhang
Mathematics Subject Classification ID: 18B30
Mathematics Subject Classification ID: 54B30
zbMATH DE Number: 5009045
zbMATH Keywords: coreflective subcategory
zbMATH Keywords: hereditary coreflective subcategory
zbMATH Keywords: hereditary coreflective hull, hereditary coreflective kernel, reflective subcategory
zbMATH Keywords: pseudoradial space
MaRDI profile type: Publication
full work available at URL: s10485-005-8848-z
OpenAlex ID: W2025773019
cites work: Heredity and coreflective subcategories of the category of topological spaces
cites work: On subsequential spaces
cites work: Q4359602
cites work: Topologische Reflexionen und Coreflexionen
cites work: Some open categorical problems in Top
cites work: Q3877831
cites work: Ordinal invariants in topology
cites work: Q4039819
cites work: Subspaces of pseudoradial spaces
cites work: On hereditary coreflective subcategories of \texttt{Top}
DOI: 10.1007/S10485-005-8848-Z
description: scientific article; zbMATH DE number 5009045