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B-closed spaces

Sarbak M. S.

Demonstratio Mathematica

2012

Vol. 45, nr 1

203-214

We introduce and study B-closed spaces. This class of spaces is a subclass of both S-closed spaces and p-closed spaces.

On Bi -metacompact spaces

Sarsak M. S.

Demonstratio Mathematica

2010

Vol. 43, nr 4

911-921

Remarks on δ-semi-open sets and δ-preopen sets

Noiri T.

Demonstratio Mathematica

2003

Vol. 36, nr 4

1007--1020

It is shown that a subset A of a topological space (X, r) is (^semi-open (resp. preopen) in (X,r) if and only if it is semi-open (resp. preopen) in (X,r.s), where rs denotes the semi-regularization of r. By using this fact, we can obtain several new characterizations of s-closed spaces, semi-connected spaces, and some separation axioms.

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).

On strongly semi-regular spaces

Jafari S., Noiri T.

Demonstratio Mathematica

2001

Vol. 34, nr 1

187-190

The present authors [12] introduced the notion of strong semi-regularity to investigate the class of (0, s)-continuous functions. The aim of this paper is to investigate further this type of regularity.