Sobriety and localic compactness in categories of \(L\)-bitopological spaces (Q925465)
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scientific article; zbMATH DE number 5282536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sobriety and localic compactness in categories of \(L\)-bitopological spaces |
scientific article; zbMATH DE number 5282536 |
Statements
Sobriety and localic compactness in categories of \(L\)-bitopological spaces (English)
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3 June 2008
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Summary: The notions of \(L\)-sobriety and \(L\)-spatiality are introduced for the category \(L\)-BiTop of \(L\)-bitopological spaces. Such notions are used to extend the known adjunction between the category \(L\)-Top of \(L\)-topological spaces and the category Loc of locales to one between the category \(L\)-BiTop and BiLoc. Also, the concepts of localic regularity and localic compactness are introduced in the mentioned category.
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