Open AccessSobriety and Localic Compactness in Categories ofL-Bitopological Spaces
Author(s) -
Kamal El-Saady,
M.Y. Bakier
Publication year - 2007
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2007/54689
Subject(s) - algorithm , mathematics , compact space , artificial intelligence , computer science , machine learning , pure mathematics
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 adjunctionbetween 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
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