Syntopogenous preordered spaces

Abstract

The investigation of a topological, uniform or proximity space endowed with a preordering is by now well established. A topological space along with a preordering related to the topology in varying degrees has been studied, for example, in (3), (4), (5) and (6). ‘Uniform preordered spaces’ and ‘Proximity preordered spaces’ have been considered in (6) and (8) respectively. In each of these cases generalizations of varying proportions of the classical theories have been obtained.