A General Framework For Compactness in L-Topological Spaces FULL TEXT

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Hacettepe Journal of Mathematics and Statistics
Volume:41 Issue:1
A General Framework For Compactness in L-Topological Spaces FULL TEXT

A General Framework For Compactness in L-Topological Spaces FULL TEXT

Authors : A GHAREEB

Pages : 67-75

View : 100 | Download : 13

Publication Date : 2012-01-01

Article Type : Research Paper

Abstract :A general framework for the concepts of compactness, countable compactness, and the Lindel¨of property are introduced in L-topological spaces by means of several kinds of open L-sets and their inequalities when L is a complete DeMorgan algebra. The method used in this paper shows that these results are valid for any kind of open L-sets and thus we do not need to repeat it for each kind separately.
Keywords : L topological space, Compactness, Countable compactness, Lindel¨of property, 2000 AMS Classification 54 A 40

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