Graded Diextremities

Abstract

In this paper, the concept of graded diextremity is defined on textures as a generalization of diextremities on textures and some properties of graded diextremity are obtained. It is shown that each graded diuniformity generates a graded diextremity and each graded diextremity genarates a graded ditopology. Moreover, the relations between graded diextremities (resp. graded diuniformities, graded ditopologies) and diextremities (resp. diuniformities, ditopologies) are investigated in basic categorical aspects.