Topological groups with a certain point-countable cover
type: Item
instance of: scholarly article
title: Topological groups with a certain point-countable cover
zbMATH Open document ID: 0997.54059
DOI: 10.1016/S0166-8641(01)00066-9
author: Masami Sakai
author: Y. Tanaka
author: Chuan Liu
published in: Topology and its Applications
publication date: 2002-05-15T00:00:00Z
review text: The authors study topological groups possessing special covers or networks. Their general result has several consequences on properties of groups or existence of various open subgroups as, e.g., Corollary 2.9: If a topological group \(G\) is a k-space having a star-countable k-network, then \(G\) contains an open subgroup that is an \(\aleph_0\)-space; Theorem 3.2: Every topological group with a \(\sigma\)-hereditarily closure-preserving k-network is an \(\aleph\)-space.
Mathematics Subject Classification ID: 54H11
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54D50
Mathematics Subject Classification ID: 54E99
zbMATH DE Number: 1741956
zbMATH Keywords: network
reviewed by: M. Hušek
MaRDI profile type: Publication
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full work available at URL: s0166-8641(01)00066-9
OpenAlex ID: W2055197892
description: scientific article; zbMATH DE number 1741956