Graded diuniformities

Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander Šostak in [7]. In this paper, the authors generalize the structure of diuniformity in ditopological texture spaces defined in [13] to the graded ditopological texture spaces and investigate graded ditopologies generated by graded diuniformities. The autors also compare the properties of diuniformities and graded diuniformities. © 2017, University of Sistan and Baluchestan. All rights reserved.