In the present paper, we introduce and study the concept of $\partial$ -closed sets in biclosure spaces and investigate its behavior. We also introduce and study the concept of $\partial$ -continuous maps.

Semi-open sets in biclosure spaces

Jeeranunt Khampakdee; Chawalit Boonpok — 2009

Discussiones Mathematicae - General Algebra and Applications

The aim of this paper is to introduce and study semi-open sets in biclosure spaces. We define semi-continuous maps and semi-irresolute maps and investigate their behavior. Moreover, we introduce pre-semi-open maps in biclosure spaces and study some of their properties.

Between closed sets and generalized closed sets in closure spaces

Chawalit Boonpok; Jeeranunt Khampakdee — 2008

Acta Mathematica Universitatis Ostraviensis

The purpose of the present paper is to define and study $\partial$ -closed sets in closure spaces obtained as generalization of the usual closed sets. We introduce the concepts of $\partial$ -continuous and $\partial$ -closed maps by using $\partial$ -closed sets and investigate some of their properties.

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C 0 -spaces and C 1 -spaces.

C 0 -biČech spaces and C 1 -biČech spaces.

∂ -Hausdorff biclosure spaces.

Generalized closed sets in Čech closed spaces.

∂ -closed sets in biclosure spaces

Semi-open sets in biclosure spaces

Between closed sets and generalized closed sets in closure spaces

$C_{0}$ -spaces and $C_{1}$ -spaces.

$C_{0}$ -biČech spaces and $C_{1}$ -biČech spaces.

$\partial$ -Hausdorff biclosure spaces.

$\partial$ -closed sets in biclosure spaces