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On gβ-regular and gβ-normal spaces

Tahiliani S.

Demonstratio Mathematica

2007

Vol. 40, nr 3

739-743

The aim of this paper is to introduce and study two new classes of spaces, called gβ-regular and gβ-normal spaces. The concept of gβ-regularity and gβ-normality are separation properties obtained by utilizing gβ-closed sets. Recall that a subset A of a space (X, r ) is called gβ-closed if β Cl(A) is a subset of U where A is a subset of U and U is open in X.