Abstract
The aim of this paper is to introduce and study some types of m-compactness with respect to a hereditary class called weakly mH-compact spaces and weakly mH-compact subsets. We will provide several characterizations of weakly mH-compact spaces and investigate their relationships with some other classes of generalized topological spaces.
Highlights
We recall some known definitions, lemmas and theorems which will be used in the work
[10] Let A be a subset of a GTS (X, μ)
It is clear that A is μθ-open if and only if for each x ∈ A, there exists a μ-open set V such that x ∈ V ⊂ cμ(V ) ⊂ A
Summary
We recall some known definitions, lemmas and theorems which will be used in the work. 3. Weakly μH-Compact Spaces We recall that A subset A of X is said to be μH-compact [4] if for every cover {Uλ : α ∈ Λ} of A by μ-open sets, there exists a finite subset Λ0 of Λ such that A \ ∪{Uα : α ∈ Λ0} ∈ H.
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