On gω-Open Sets in Grill Topological Spaces
Amin Saif *
Department of Mathematics, Faculty of Sciences, Taiz University, Taiz, Yemen.
Mohammed Al-Hawmi
Department of Mathematics, Faculty of Education, University of Saba Region, Mareb, Yemen.
Basheer Al-Refaei
Department of Mathematics, Faculty of Education, University of Saba Region, Mareb, Yemen.
*Author to whom correspondence should be addressed.
Abstract
The propose of this paper is to introduce and investigate a weak form of ω-open set in grill topological spaces. We introduce the notion of
-open set as a form stronger than βω-open set and weaker than ω-open set and
-open set. By using this form, we study the generalization property, the interior operator, closure operator and θ-cluster operator.
Keywords: Open sets, Grill topological spaces