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math.GN2019
On proximal fineness of topological groups in their right uniformity
Ahmed Bouziad
A uniform space is said to be proximally fine if every proximally continuous map on into a uniform is uniformly continuous. We supply a proof that every topological group w…
math.GN2019
Preservation of uniform continuity under pointwise product
Ahmed Bouziad, Elena Sukhacheva
Let be a uniform space and the linear space of real-valued uniformly continuous functions on . Our main objective is to give a number of properties characterizing the…