T3 AND T4-objects in the topological category of cauchy spaces

Abstract

[7] is shown that they lead to di¤erent T 3 and T 4 concepts, in general. In this paper, an explicit characterization of each of the separation properties T 3 and T 4 is given in the topological category of Cauchy spaces. Moreover, speci…c relationships that arise among the various T i , i = 0; 1; 2; 3; 4, P reT 2 ; and T 2 structures are examined in this category.