id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4737	Boonpok, Chawalit; Thongmoon, Montri	Characterizations of Some Topological Spaces	2023	14	.pdf	application/pdf	6057	403	86	Then, for each pair of distinct points x, y of X, there exist U, V ∈ s(Λ, p)O(X, τ) such that x ∈ U, y ∈ V and U (Λ,p) ∩ V (Λ,p) = ∅. Since U ∈ s(Λ, p)O(X, τ), U (Λ,p) = [U(Λ,p)] (Λ,p) and U (Λ,p) is r(Λ, p)-closed. For a topological space (X, τ), the following properties are equivalent: (1) (X, τ) is s(Λ, p)-connected; (2) U ∩ V ̸= ∅ for every nonempty sets U ∈ β(Λ, p)O(X, τ) and V ∈ δs(Λ, p)O(X, τ); (3) U ∩ V ̸= ∅ for every nonempty sets U ∈ p(Λ, p)O(X, τ) and V ∈ δs(Λ, p)O(X, τ); (4) U ∩ V ̸= ∅ for every nonempty sets U ∈ s(Λ, p)O(X, τ) and V ∈ δs(Λ, p)O(X, τ); (5) U ∩ V ̸= ∅ for every nonempty sets U ∈ α(Λ, p)O(X, τ) and V ∈ δs(Λ, p)O(X, τ); (6) U ∩ V ̸= ∅ for every nonempty sets U ∈ ΛpO(X, τ) and V ∈ δs(Λ, p)O(X, τ); (7) U ∩ V ̸= ∅ for every nonempty sets U ∈ δs(Λ, p)O(X, τ) and V ∈ δs(Λ, p)O(X, τ).	cache/ejpam-4737.pdf	txt/ejpam-4737.txt