Unions of chains in dyadic compact spaces and topological groups
type: Item
instance of: scholarly article
title: Unions of chains in dyadic compact spaces and topological groups
zbMATH Open document ID: 1009.54007
DOI: 10.1016/S0166-8641(01)00106-7
author: Yolanda Torres Falcón
author: Mikhail Tkachenko
published in: Topology and its Applications
publication date: 2002-08-22T00:00:00Z
review text: This paper explores properties possessed by a space \(X\) which is a union of a chain \(\{ X_\alpha\mid \alpha <\kappa\}\) of subspaces each of which has some bounded cardinal function. For example if \(X\) is a dyadic compactum and either each \(X_\alpha\) has pseudocharacter at most \(\lambda\) or each \(X_\alpha\) has tightness at most \(\lambda\) then \(X\) has weight at most \(\lambda\). Similar assumptions for a locally compact group give a corresponding bound on the character of the group.
Mathematics Subject Classification ID: 54A25
Mathematics Subject Classification ID: 54H11
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54D30
Mathematics Subject Classification ID: 54D45
Mathematics Subject Classification ID: 22D05
zbMATH DE Number: 1787512
reviewed by: David B. Gauld
MaRDI profile type: Publication
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Wikidata QID: Q126399820
description: scientific article; zbMATH DE number 1787512