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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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