Some properties of semi-linear uniform spaces - doi: 10.5269/bspm.v29i2.11649

Abstract

Semi-linear uniform space is a new space defined by Tallafha, A and Khalil, R in [3],the authors define a set valued map ρ on X×X , they asked two question about the properties of ρ.The purpose of this paper is to answer these questions, besides we shall define another set valued map δ on X×X and give more properties of semi-linear uniform spaces using the maps ρ and δ. Also we shall give an example of a semi-linear uniform space which is not metrizable