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

Year 2012, Volume: 41 Issue: 1, 67 - 75, 01.01.2012

A. Ghareeb

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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