Some topics in topological algebra
type: Item
instance of: scholarly article
title: Some topics in topological algebra
zbMATH Open document ID: 0817.22005
DOI: 10.1016/0166-8641(93)90061-H
author: Mitrofan M. Choban
published in: Topology and its Applications
publication date: 1995-08-06T00:00:00Z
review text: Free topological algebras over a given topological space \(X\) are considered. In the case when the signature \(E\) is a \(k_ \omega\)-space and \(K\) is a (complete) \(\beta\)-quasivariety of topological \(E\)-algebras, the author gives some conditions on \(X\) which imply countable tightness (the \(k\)-property, etc.) of the free topological \(E\)-algebra \(F(X,K)\). The relation of \(M_ K\)-equivalence between topological spaces is also studied in the paper. The majority of the results is completely analogous to those for free topological groups.
Mathematics Subject Classification ID: 22A30
Mathematics Subject Classification ID: 54H10
Mathematics Subject Classification ID: 08B20
Mathematics Subject Classification ID: 54A25
Mathematics Subject Classification ID: 54C40
zbMATH DE Number: 503645
zbMATH Keywords: free topological algebras
zbMATH Keywords: topological \(E\)-algebras
zbMATH Keywords: countable tightness
zbMATH Keywords: free topological groups
reviewed by: Mikhail Tkachenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 503645