Sobriety and Localic Compactness in Categories of L-Bitopological Spaces
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, th...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/54689 |
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doaj-328f534c2cb14f2693fd4b2fdcbb494f2020-11-24T23:15:17ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/5468954689Sobriety and Localic Compactness in Categories of L-Bitopological SpacesKamal El-Saady0M. Y. Bakier1Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, EgyptDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71515, EgyptThe 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.http://dx.doi.org/10.1155/2007/54689 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kamal El-Saady M. Y. Bakier |
| spellingShingle |
Kamal El-Saady M. Y. Bakier Sobriety and Localic Compactness in Categories of L-Bitopological Spaces International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Kamal El-Saady M. Y. Bakier |
| author_sort |
Kamal El-Saady |
| title |
Sobriety and Localic Compactness in Categories of L-Bitopological Spaces |
| title_short |
Sobriety and Localic Compactness in Categories of L-Bitopological Spaces |
| title_full |
Sobriety and Localic Compactness in Categories of L-Bitopological Spaces |
| title_fullStr |
Sobriety and Localic Compactness in Categories of L-Bitopological Spaces |
| title_full_unstemmed |
Sobriety and Localic Compactness in Categories of L-Bitopological Spaces |
| title_sort |
sobriety and localic compactness in categories of l-bitopological spaces |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2007-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2007/54689 |
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AT kamalelsaady sobrietyandlocaliccompactnessincategoriesoflbitopologicalspaces AT mybakier sobrietyandlocaliccompactnessincategoriesoflbitopologicalspaces |
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1725591162509590528 |