Sobriety and Localic Compactness in Categories of L -Bitopological Spaces

Kamal El-Saady and M. Y. Bakier

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-13

Abstract:

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 locals to one between the category L -BiTop and BiLoc. Also, the concepts of localic regularity and localic compactness are introduced in the mentioned category.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:054689

DOI: 10.1155/2007/54689

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