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http://dx.doi.org/10.5666/KMJ.2012.52.4.405

A Unified Theory for Certain Weak Forms of Open Sets and Their Variant Forms  

Roy, Bishwambhar (Department of Mathematics, Women's Christian College)
Seny, Ritu (Department of Mathematics, S. A. Jaipuria College)
Publication Information
Kyungpook Mathematical Journal / v.52, no.4, 2012 , pp. 405-412 More about this Journal
Abstract
The purpose of the present paper is towards working out a unified version of the study of certain weak forms of generalized open sets and their neighbouring forms, as are already available in the literature. In terms of an operation, as initiated by $\acute{A}$. Cs$\acute{a}$sz$\acute{a}$r, we introduce unified definitions of ${\wedge}_{\psi}$-sets, ${\vee}_{\psi}$-sets, $g{\cdot}{\wedge}_{\psi}$-sets and $g{\cdot}{\vee}_{\psi}$-sets and derive results concerning them.
Keywords
Operation; ${\psi}$-closure; ${\psi}$-open set; ${\wedge}_{\psi}$-sets; $g{\cdot}{\wedge}_{\psi}$-sets;
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