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SOFT TOPOLOGICAL QUESTIONS AND ANSWERS
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12

August 2024

2024/2025

A+
1) Proposition 3.11 If for every x ∈ X, for every a ∈ A and for every a-soft open neighborhood (F,A) of x there exists an a-soft open neighborhood (G,A) of x such that x ∈ G(a) ⊂ cl(G,a) ⊂ F(a), then (X,τ,A) is a soft T3-space. (2) Proposition 3.16 Let (F,A) ∈ SS(X,A) and a ∈ A. If there exists a net S = {xλ,λ ∈ Λ} of X such that xλ∈a(F,A), for every λ ∈ Λ and x ∈ s-lim(S), then x ∈acl(F,A). (3) Proposition 3.17 Let (A,X,τX) and (B,Y,τY) be two soft...
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