On strong generalized neighborhood systems and $sg$-open sets
Commun. Korean Math. Soc. 2008 Vol. 23, No. 1, 125-131
Published online March 1, 2008
Won Keun Min
Department of Mathematics, Kangwon National University, Chuncheon 200-701, Korea
Abstract : We introduce and study the concepts of strong generalized neighborhood systems, SGNS and $sg$-open sets. We also introduce and investigate the concept of $(\psi, \psi')$-continuity and $sg$-continuity on SGNS's.
Keywords : strong generalized neighborhood systems, SGNS, $sg$-open set, $sg$-continuous, $(\psi, \psi')$-continuous, strong generalized interior operator, strong generalized interior
MSC numbers : 54A10, 54A20, 54D10, 54D30
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