id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6297	Boonpok, Chawalit ; Raktaow, Palin ; Sama-ae, Areeyuth	Strong $\beta$-$\mathcal{I}$-Submaximality and $\beta$-$\mathcal{I}$-Paracompactness in Ideal Topological Spaces	2025	23	.pdf	application/pdf	10793	682	79	Math, 18 (3) (2025), 6297 5 of 23 (2) If A is closed, then A is strong β-I-closed; (3) sβ IntI(A) is strong β-I-open, and Int(A) ⊆ sβ IntI(A); (4) sβ clI(A) is strong β-I-closed, and sβ clI(A) ⊆ cl(A); (5) A is strong β-I-open if and only if A = sβ IntI(A); (6) A is strong β-I-closed if and only if A = sβ clI(A); and (7) x ∈ sβ clI(A) if and only if U ∩A ̸= ∅ for every strong β-I-open set U containing x. Proof. if and only if A = sβ clI(A). (7): Assume that x ∈ sβ clI(A).	cache/ejpam-6297.pdf	txt/ejpam-6297.txt