A general framework for compactness in L-topological spaces

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.

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