Urysohn lemma in semi-linear uniform spaces

Abstract

In topology Urysohn Lemma is widely applicable, where it is commonly used to construct continuous functions with various properties on normal space.  In this paper we shall present Urysohn Lemma in semi linear uniform spaces, besides we shall give a characterization of the closure in semi-linear uniform space, then we shall use this characterization to answer the question which given in [12], by A.Tallafha and R. Khalil namely (If ρ(x, A) = ∆, must x ∈ A^l).