A note on closedness and connectedness in the category of proximity spaces

Abstract

In this paper, an explicit characterization of the separation properties T_0 and T_1 at a point p is
given in the topological category of proximity spaces. Furthermore, the (strongly) closed and (strongly) open
subobjects of an object are characterized in the category of proximity spaces and also the characterization
of each of the various notions of the connected objects in this category are given.