Generalized open sets in grill N-topology

Abstract

The aim of this paper is to give a systematic development of grill N-topological spaces and discuss a few properties of local function. We build a topology for the corresponding grill by using the local function. Furthermore, we investigate the properties of weak forms of open sets in the grill N-topological spaces and discuss the relationships between them.

Keywords

• Grill N-topological space
• GNτ -α open sets
• GNτ -semi open sets
• GNτ -pre open sets
• GNτ -β open sets.