Generalization of a theorem of Alexandroff
type: Item
instance of: scholarly article
title: Generalization of a theorem of Alexandroff
zbMATH Open document ID: 0835.28006
author: Thiruvaiyaru V. Panchapagesan
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-04-17T00:00:00Z
review text: The author shows that under a certain regularity condition a finitely additive set function from a ring of sets \(\mathcal R\) into an Abelian Hausdorff topological group \(G\) is countably additive. He also studies the question whether regularity of an exhausting additive set function \(\mu: {\mathcal R}\to G\) with range in a sequentially complete subset of \(G\) is inherited by its unique extension to the \(\sigma\)-ring generated by \(\mathcal R\).
Mathematics Subject Classification ID: 28B10
zbMATH DE Number: 743904
zbMATH Keywords: group-valued set functions
zbMATH Keywords: regular set functions
zbMATH Keywords: countably additive set functions
zbMATH Keywords: theorem of Alexandroff
reviewed by: Klaus D. Schmidt
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1022
OpenAlex ID: W1986065463
DOI: 10.1006/JMAA.1995.1022
description: scientific article; zbMATH DE number 743904