Souslin property in free topological groups on bicompacta
type: Item
instance of: scholarly article
title: Souslin property in free topological groups on bicompacta
zbMATH Open document ID: 0535.22002
DOI: 10.1007/BF01157398
published in: Mathematical Notes
publication date: 1983-01-01T00:00:00Z
review text: Let X be a completely regular space and F(X) be its free Markov topological group. It is shown that if X is a pseudocompact space then \(c(F(X))\leq \aleph_ 0\), i.e. any disjoint system of open sets of G is not uncountable. In particular, if a topological group G is \(\sigma\)- compact or G is topologically generated by a compact set then \(c(G)\leq \aleph_ 0\).
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 54F99
zbMATH DE Number: 3849507
zbMATH Keywords: free Markov topological group
zbMATH Keywords: Suslin number
author: Mikhail Tkachenko
reviewed by: Igor V. Protasov
MaRDI profile type: Publication
cites work: Q5770510
cites work: Q4080379
cites work: Q3964790
full work available at URL: https://doi.org/10.1007/bf01157398
OpenAlex ID: W1992000967
description: scientific article; zbMATH DE number 3849507