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 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 Downloads: Full-text PDF