On normal lattices and Wallman spaces
type: Item
instance of: scholarly article
title: On normal lattices and Wallman spaces
zbMATH Open document ID: 0714.28003
DOI: 10.1155/S0161171290000047
author: George M. Eid
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46538
review text: Instead of the set of closed sets in a topological space a lattice \(\Omega\) of subsets of a given set is considered. The author presents many interesting results with simple proofs. Specially the Wallman topology is considered on the set \(I_ R(\Omega)\) of all bounded and finitely additive measures defined on the algebra A(\(\Omega\)) generated by \(\Omega\) and regular \(\mu (A)=\sup \{\mu (L);\quad L\subset A,\quad L\in \Omega \}\) for \(A\in A(\Omega)\).
reviewed by: Beloslav Riečan
Mathematics Subject Classification ID: 28A60
Mathematics Subject Classification ID: 28A12
Mathematics Subject Classification ID: 06B99
Mathematics Subject Classification ID: 54D15
zbMATH DE Number: 4175302
zbMATH Keywords: normal lattice
zbMATH Keywords: 0-1 valued measure
zbMATH Keywords: Wallman space
zbMATH Keywords: disjunctive lattice
zbMATH Keywords: Wallman topology
zbMATH Keywords: finitely additive measures
MaRDI profile type: Publication
OpenAlex ID: W2100032976
description: scientific article; zbMATH DE number 4175302