A note on pseudobounded paratopological groups
type: Item
instance of: scholarly article
title: A note on pseudobounded paratopological groups
zbMATH Open document ID: 1311.54025
author: Fucai Lin
author: Iván Sánchez
author: Shou Lin
published in: Topological Algebra and its Applications
publication date: 2014-12-17T00:00:00Z
review text: In this paper, the authors give a partial answer to the following question: If \(G\) is a totally \(\omega\)-pseudobounded premeager paratopological group, is \(G\) a topological group? Also, some examples of paratopological groups with interesting properties are given. For example, there exists a normal first-countable and pseudobounded paratopological group which is non-metrizable. Also, there exists a metrizable, zero-dimensional and pseudobounded topological group. Finally, the authors present a Hausdorff connected paratopological group which is not \(\omega\)-pseudobounded.
Mathematics Subject Classification ID: 54H11
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54B05
Mathematics Subject Classification ID: 54C05
zbMATH DE Number: 6381447
zbMATH Keywords: paratopological group
zbMATH Keywords: pseudobounded
zbMATH Keywords: \(\omega\)-pseudobounded
zbMATH Keywords: topological group
zbMATH Keywords: premeager space
zbMATH Keywords: Lusin space
reviewed by: M. Akbari Tootkaboni
MaRDI profile type: Publication
full work available at URL: taa-2014-0003
OpenAlex ID: W2015198236
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DOI: 10.2478/TAA-2014-0003
description: scientific article; zbMATH DE number 6381447