Abstract
The objective of this paper is to show modern class of open sets which is an -open. Some functions via this concept were studied and the relationships such as continuous function strongly -continuous function -irresolute function -continuous function.
Highlights
An α-open was studied in 1965 by O
The notion of ideal was studied by Kuratowski[3,4],that Ị is an ideal on Ӽ, where Ị is a collection of all subsets of Ӽ an ideal have two properties and
Let Ç is any closed set in (Ӽ, ῖ, Ị) and Ơ be an α-open set such that Ç-Ơ ∈ Ị since cl(Ç) = Ç this implies that Ç is an αgỊ-closed set. ii
Summary
An α-open was studied in 1965 by O. 2- On αgỊ-closed set Definition 1: In ideal topological space (Ӽ, ῖ, Ị), Let Ç ⊆ Ӽ. Let Ç is any closed set in (Ӽ, ῖ, Ị) and Ơ be an α-open set such that Ç-Ơ ∈ Ị since cl(Ç) = Ç this implies that Ç is an αgỊ-closed set.
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