Super and Strong γ H-Lindel¨ofness in Hereditary m-Spaces

Year 2024, Volume: 14 Issue: 2, 54 - 64, 31.07.2024

Ahmad Al-omari , Hanan Al-saadi , Takashi Noiri

https://izlik.org/JA72YG88SU

Abstract

Let (X, m, H) be a hereditary m-space and γ : m → P(X) be a γ-operation
on m. A subset A of X is said to be γH-Lindel¨of relative to X [1] if for every cover
{Uα : α ∈ ∆} of A by m-open sets of X, there exists a countable subset ∆0 of ∆ such
that A \ ∪{γ(Uα) : α ∈ ∆0} ∈ H. In this paper, we define and investigate two kinds of
strong forms of “γ H-Lindel¨of relative to X”.

Keywords

hereditary m-space , γH-Lindel¨ofness , strong γH-Lindel¨ofness , super γH-Lindel¨ofness.

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