On the relationships between various lattice-valued topological groups and their uniformities (Q2874401)
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scientific article; zbMATH DE number 6252083
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the relationships between various lattice-valued topological groups and their uniformities |
scientific article; zbMATH DE number 6252083 |
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30 January 2014
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Lattice-valued topology
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lattice-valued topological group
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lattice-valued uniformity
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On the relationships between various lattice-valued topological groups and their uniformities (English)
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It is well-known that each topological group is uniformizable. This article is concerned with the counterpart of this conclusion in the lattice-valued setting. Since, unlike the classical case, there exist different kinds of lattice-valued topologies and lattice-valued uniformities in the lattice-valued setting, the authors also investigate the relationship between the uniformities induced by different kinds of lattice-valued topological groups.
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