Abdalla Ahmad Tallafha

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Questions related from Abdalla Ahmad Tallafha

If f is a contraction from a complete modified semi-linear uniform space X to X, is f has a unique fixed point?

We shall call a semi-linear uniform space (X,Γ) a modified semi-linear uniform space, if Γ satisfies the following additional conditions.1- For all V∈Γ,we have union nV=X×X.2- δ(x,y)⊆δ(x,z)∘δ(z,y)...

09 August 2017 7,964 0 View

Is the family of all members of a semi-linear uniform space Γ open with respect to the topology induced by Γ on X×X?

1- Every semi-linear uniform space (X ,Γ) induce a T₁ topological space (X,τ_{Γ}),whose base is B={B(x,V):x∈X,V∈Γ}. More precisely, the topology τ_{Γ}={G⊆X: for every x∈G there is a V∈Γ such that...">

25 October 2015 4,639 8 View