Orderability of topological groups and biradial spaces (Q2710548)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orderability of topological groups and biradial spaces |
scientific article |
Statements
2 July 2001
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bisequential space
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biradial space
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orderable space
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suborderable space
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0.9393112
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0.9255189
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0.91981286
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0.9053041
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Orderability of topological groups and biradial spaces (English)
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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.
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