Properties of theta-H-compact sets in hereditary m-spaces

Keywords: Hereditary m-space, θ-H-compactness, strong θ-Hcompactness, super θ-H-compactness

Abstract

Let (X,m, H) be a hereditary m-space. A subset A of X is said to be θ-H-compact relative to X if for every cover U of A by m(θ)-open sets of X, there exists a finite subset U0 of U such that A \ ∪ U0H. We obtain several properties of these sets. Also, we define and investigate two kinds of strong forms of “θ-H-compact relative to X”.

 

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Author Biography

Ahmad Al-Omari, Al al-Bayt University

Department of Mathematics

Published
2022-11-22
Section
Articles