More properties of generalized open sets in generalized topological spaces

Abstract

Sarsak [M. S. Sarsak, On some properties of generalized open sets in generalized topological spaces, Demonstr. Math. 46 (2013), no. 2, 415–427] studied some properties of generalized open sets in generalized topological spaces (GTSs); the primary purpose of this article is to investigate more properties of generalized open sets in GTSs. We mainly study the behaviours of regular closed sets, semi-open sets, regular semi-open sets, preopen sets, and β\beta -open sets in GTSs analogous to their behaviours in topological spaces.

Keywords

• generalized topology
• μ-space
• μ-open
• μ-regular closed
• μ-semi-open
• regular μ-semi-open
• μ-preopen
• μ-β-open
• 54a05
• 54a10