On Lindelöf lattices and separation
type: Item
instance of: scholarly article
title: On Lindelöf lattices and separation
zbMATH Open document ID: 0748.28003
DOI: 10.1155/S0161171291000819
author: George M. Eid
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1992-06-26T00:00:00Z
full work available at URL: https://eudml.org/doc/46702
review text: Let \(X\) be an abstract set and \({\mathcal L}\) a lattice of subsets of \(X\). In the first part general properties of Lindelöf lattices and their measure implications are investigated. In the second part necessary and sufficient conditions in terms of measure relationships on \({\mathcal L}\) for the generalized Wallman replete and prime complete spaces to be Lindelöf spaces are given.
Mathematics Subject Classification ID: 28A60
Mathematics Subject Classification ID: 54H10
zbMATH DE Number: 22398
zbMATH Keywords: 0-1-valued measures
zbMATH Keywords: replete lattice
zbMATH Keywords: Wallman replete spaces
zbMATH Keywords: Lindelöf lattices
zbMATH Keywords: prime complete spaces
zbMATH Keywords: Lindelöf spaces
reviewed by: Rastislav Potocký
MaRDI profile type: Publication
OpenAlex ID: W2135089936
description: scientific article; zbMATH DE number 22398