T3 AND T4-OBJECTS IN THE TOPOLOGICAL CATEGORY OF CAUCHY SPACES

Abstract

There are various generalization of the usual topological T3andT4axioms to topological categories de...ned in [2] and [7]. [7] is shown thatthey lead to diğerent T3and Tconcepts, in general. In this paper, an explicitcharacterization of each of the separation properties T3and T4is given inthe topological category of Cauchy spaces. Moreover, speci...c relationshipsthat arise among the various Ti, i = 0; 1; 2; 3; 4, P reT;and Tstructures areexamined in this category.