Special measures and repleteness
type: Item
instance of: scholarly article
title: Special measures and repleteness
zbMATH Open document ID: 0778.28010
DOI: 10.1155/S0161171293000997
author: El-Bachir Yallaoui
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1993-11-28T00:00:00Z
full work available at URL: https://eudml.org/doc/46887
review text: Summary: Let \(X\) be an abstract set and \({\mathcal L}\) a lattice of subsets of \(X\). To each lattice-regular measure \(\mu\) we associate two induced measures \(\hat\mu\) and \(\tilde\mu\) on suitable lattices of the Wallman space \(I_ R({\mathcal L})\) and another measure \(\mu'\) on the space \(I^ \sigma_ R({\mathcal L})\). We investigate the reflection of smoothness properties of \(\mu\) onto \(\hat\mu\), \(\tilde\mu\) and \(\mu'\) and give some new criterion for repleteness and measure repleteness.
Mathematics Subject Classification ID: 28C15
Mathematics Subject Classification ID: 28A60
Mathematics Subject Classification ID: 28A12
Mathematics Subject Classification ID: 06B30
zbMATH DE Number: 438934
zbMATH Keywords: measure replete lattices
zbMATH Keywords: remainder
zbMATH Keywords: tight measures
zbMATH Keywords: purely finitely additive measures
zbMATH Keywords: lattice-regular measure
zbMATH Keywords: Wallman space
zbMATH Keywords: measure repleteness
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description: scientific article; zbMATH DE number 438934