Proximity structures and ideals

摘要

In this paper, we present a new approach to proximity structures based on the recognition of many of the entities important in the theory of ideals. So, we give a characterization of the basic proximity using ideals. Also, we introduce the concept of g-proximities and we show that for di.erent choice of "g" one can obtain many of the known types of generalized proximities. Also, characterizations of some types of these proximities – (g 0 , h 0 ) – are obtained.