On soft generalized closed sets in soft topological spaces

Abstract

In this paper, we continue the study of soft generalized closed sets in a soft topological space introduced by Kannan [1]. Firstly, we give a representation of soft sets and soft topological spaces. Secondly, we investigate behavior relative to soft subspaces of soft generalized closed sets. We show that a soft generalized closed set in a soft compact (soft Lindelöf, soft countably compact) space is also soft compact. Then, we show that a soft compact set in a soft regular space is soft generalized closed and disjoint soft g-closed sets in a soft normal space generally cannot be separated by soft open sets. Finally, we investigate some properties of soft generalized open sets. © 2005 - 2013 JATIT & LLS. All rights reserved.