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More properties of generalized open sets in generalized topological spaces

Sarsak Mohammad S.

Demonstratio Mathematica

2022

Vol. 55, nr 1

404--415

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 -open sets in GTSs analogous to their behaviours in topological spaces.

On some properties of generalized open sets in generalized topological spaces

Sarsak M. S.

Demonstratio Mathematica

2013

Vol. 46, nr 2

415--427

In [8], Császár introduced some generalized open sets in generalized topological spaces, namely, µ-semi-open, µ-preopen, µ-β-open, and µ-α-open. The primary purpose of this paper is to study some new properties and characterizations of these concepts as we also introduce and study a new generalized open set in generalized topological spaces, namely, µ-b-open. We also investigate some relationships between these concepts.