The meet of locally connected group topologies
type: Item
instance of: scholarly article
title: The meet of locally connected group topologies
zbMATH Open document ID: 0796.22001
DOI: 10.1155/S0161171294000499
author: Dorene J. Fox
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1994-06-19T00:00:00Z
full work available at URL: https://eudml.org/doc/46971
review text: Given a group \(G\) and an arbitrary topology \(t\) on \(G\), the author presents a method of construction of the finest group topology on \(G\) contained in \(t\), say \(g(t)\). It is also shown that if a topology \(t\) is locally connected and invariant under left and right translations, then \(g(t)\) is locally connected.
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 54B15
zbMATH DE Number: 569404
zbMATH Keywords: quotient space
zbMATH Keywords: semicontinuous topologies
zbMATH Keywords: group topology
zbMATH Keywords: locally connected
reviewed by: Mikhail Tkachenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 569404