In this paper we introduce and study the concepts of g-lambda alfa-continuous maps, g-lambda alfa-irresolute maps and g-lambda alfa-closed maps by using generalized lambda alfa-sets and generalized Valfa-sets.
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The aim of this paper is to introduce and study two new classes of spaces, called semi-g-regular and semi-g-normal spaces. Semi-g-regularity and semi-g-normality are separation properties obtained by utilizing semi-generalized closed sets. Recall that a subset A of a topological space (X, r) is called semi-generalized closed, briefly sg-closed, if the semi-closure of A C X is a subset of U C X whenever A is a subset of U and U is semi-open in (X,r).
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