Di-extremities and totally bounded di-uniformities

Abstract

In our previous studies, we have defined a counterpart, called a di-extremity, to the classical notion proximity in the complement-free setting of a texture. In this article, we will investigate relationship between totally bounded di-uniformities and di-extremities. We will also characterize fuzzy proximities in the sense of Artico-Hutton as complemented di-extremities on Hutton textures.