Fox's spreads on nearness spaces (Q1012425)

Hunt's uniform spreads, which are generalizations of Fox's spreads, are extended to nearness spaces in the realm of uniform covers. In this article, Hunt's bijective correspondence between ``spread points'' in (\(f,X,Z\)) and minimal Cauchy filters in (\(X,U\)) is expanded to one between spread points in (\(X,U\)) and Herrlich's \(\beta\)-clusters in nearness spaces. Following this idea the author presents a uniform spread completion. Subsequently, he extends Hunt's uniform spreads to the category of nearness spaces.