id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4855	Baldado, Michael Jr. Patula	$b^{\ast}_{I}$ Sets and $b^{\ast}_{I}$-Compact Ideal Spaces	2023	8	.pdf	application/pdf	3832	344	90	By assumption, Ψ has a smaller finite subset, say Ψ0, with the property ⋃ {SCψ : ψ ∈ Ψ0} = X. Hence, ( ⋂ {Sψ : ψ ∈ Ψ0} = ⋃ {SCψ : ψ ∈ Ψ0})C = Y C = ∅. (ii) implies (i): Let {Pψ : ψ ∈ Ψ} be a b∗J -open covering of Y , i.e. ⋃ {Pψ : ψ ∈ Ψ} = Y . Hence, {SCψ : ψ ∈ Ψ} is a class of b∗J -open sets which covers of Y .	cache/ejpam-4855.pdf	txt/ejpam-4855.txt