id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4386	Alfarsi, Nouf; Abuzaid, Dina ; Kalantan, Lutfi 	Semi-Regularization Topological Spaces	2022	9	.pdf	application/pdf	5090	359	85	Note that if ∅ ̸= U ⊆ X, then U ∈ τ s if and only if U = ⋃ α∈Λ Vα with Vα is an open domain in (X , τ ) for each α ∈ Λ. Equivalently U ∈ τ s if and only if for each x Define a new topology τ (M) on X as follows: τ (M) = {U ∪K : U ∈ τ and K ⊆ X \M }.	cache/ejpam-4386.pdf	txt/ejpam-4386.txt