Nonpreservation of properties of topological groups on taking their square
type: Item
instance of: scholarly article
title: Nonpreservation of properties of topological groups on taking their square
zbMATH Open document ID: 0636.54007
DOI: 10.1007/BF00973854
author: Viatcheslav I. Malykhin
published in: Siberian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: With the use of some additional set-theoretic assumptions it is shown that normality, countable compactness, Lindelöfness, tightness, Souslin property and Fréchet-Urysohn property are not preserved taking the square of topological groups. So far there are no analogous ``absolute'' examples of topological groups.
Mathematics Subject Classification ID: 54A35
Mathematics Subject Classification ID: 54A25
Mathematics Subject Classification ID: 22A05
zbMATH DE Number: 4036698
zbMATH Keywords: topological invariants
zbMATH Keywords: final compactness
zbMATH Keywords: forcing
zbMATH Keywords: normality
zbMATH Keywords: countable compactness
zbMATH Keywords: Lindelöfness
zbMATH Keywords: tightness
zbMATH Keywords: Souslin property
zbMATH Keywords: Fréchet- Urysohn property
reviewed by: Mikhail Tkachenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4036698