Orderability of topological groups and biradial spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 0970.54029
author: Masami Sakai
author: Y. Tanaka
author: Chuan Liu
publication date: 2001-07-02T00:00:00Z
Mathematics Subject Classification ID: 54F05
Mathematics Subject Classification ID: 54H11
Mathematics Subject Classification ID: 54D50
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 1590528
zbMATH Keywords: bisequential space
zbMATH Keywords: biradial space
zbMATH Keywords: orderable space
zbMATH Keywords: suborderable space
MaRDI profile type: Publication
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title: Orderability of topological groups and biradial spaces
published in: Questions and Answers in General Topology
review text: The authors investigate orderability of topological groups which is, according to a result by \textit{F. Cammaroto} and the reviewer [Boll. Unione Mat. Ital., VII. Ser., B 7, No. 3, 607-629 (1993; Zbl 0793.54023)], related to biradial spaces introduced by the reviewer [Publ. Inst. Math., Nouv. Sér. 39(53), 173-177 (1986; Zbl 0612.54038)]. It is shown: (1) A topological group is orderable iff it is suborderable; (2) If \(X\) is a space, then \(X^\omega\) is biradial iff \(X\) is bisequential.
reviewed by: Ljubiša D. R. Kočinac
description: scientific article