Relations among the category of topological molecular lattices and certain related categories
type: Item
instance of: scholarly article
title: Relations among the category of topological molecular lattices and certain related categories
zbMATH Open document ID: 0880.54011
DOI: 10.1007/BF03182639
published in: Chinese Science Bulletin
publication date: 1997-09-28T00:00:00Z
review text: Let \({\mathbf {TOP}}\) be the category of topological spaces with continuous mappings as morphisms, \({\mathbf {TML}}\) the category of topological molecular lattices with continuous order homomorphisms as morphisms [\textit{G. Wang}, Sci. Sin., Ser. A 27, 785-798 (1984; Zbl 0599.54005)] and \({\mathbf {PBT}}\) the category of bitopological spaces which are locally ultracompact and sober in one of the two topologies with bicontinuous mappings quasi-open in that topology as morphisms. The authors show that \({\mathbf {TOP}}\) is a both monomorphic coreflexive and epimorphic reflexive subcategory of \({\mathbf {TML}}\) and that \({\mathbf {TML}}\) is equivalent to \({\mathbf {PBT}}\).
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 18A40
Mathematics Subject Classification ID: 18B30
zbMATH DE Number: 1066759
zbMATH Keywords: category of topological molecular lattices
author: Guojun Wang
author: Yongming Li
reviewed by: Zi Ke Deng
MaRDI profile type: Publication
cites work: Q3675158
cites work: Q3733738
cites work: Theory of topological molecular lattices
cites work: Reflexive cum coreflexive subcategories in topology
full work available at URL: https://doi.org/10.1007/bf03182639
OpenAlex ID: W2024162621
description: scientific article; zbMATH DE number 1066759