The metrizability of \(L\)-topological groups (Q392348)
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scientific article; zbMATH DE number 6244805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The metrizability of \(L\)-topological groups |
scientific article; zbMATH DE number 6244805 |
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The metrizability of \(L\)-topological groups (English)
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13 January 2014
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From the summary: In this paper, the authors study the metrizability of \(L\)-topological groups defined by Ahsanullah in 1988. They show that for any (separated) \(L\)-topological group there is an \(L\)-pseudo-metric (\(L\)-metric), in the sense of Gähler, that is compatible with the \(L\)-topology on the (separated) \(L\)-topological group. That is, any (separated) \(L\)-topological group is pseudo-metrizable (metrizable).
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\(L\)-topological groups
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separated \(L\)-topological groups
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\(L\)-metric spaces
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