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On maps and generalized lambda alfa-sets

Caldas M., Ganster M., Jafari S., Navalagi G. B.

Demonstratio Mathematica

2005

Vol. 38, nr 3

729--738

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.

On semi-g-regular and semi-g-normal spaces

Ganster M., Jafari S., Navalagi G. B.

Demonstratio Mathematica

2002

Vol. 35, nr 2

415-421

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).