Resolvability of groups
type: Item
instance of: scholarly article
title: Resolvability of groups
zbMATH Open document ID: 0936.22002
published in: Matematychni Studiï
publication date: 1999-11-22T00:00:00Z
review text: In the paper under review the author gives a survey of recent results on the resolvability of topological groups, thus complementing the survey [Topol. Appl. 74, 149-167 (1996; Zbl 0866.54004)] by \textit{W. W. Comfort} and \textit{S. García-Ferreira}. The following themes are considered: the Comfort--van Mill problems on resolvability, resolvability of free groups and direct products, the relation between resolvable and extremally disconnected groups, resolvability of totally bounded groups, etc. The article is written by one of the leading specialists in the area who made a considerable contribution to the solution of many problems about resolvability in topological groups.
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 54H11
Mathematics Subject Classification ID: 54A35
zbMATH DE Number: 1366421
zbMATH Keywords: resolvable
zbMATH Keywords: \(\kappa\)-resolvable
zbMATH Keywords: absolutely resolvable
zbMATH Keywords: extremally disconnected
zbMATH Keywords: ultrafilter
zbMATH Keywords: free group
zbMATH Keywords: semigroup
zbMATH Keywords: resolvability
zbMATH Keywords: topological groups
author: Igor V. Protasov
reviewed by: Mikhail Tkachenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1366421