GRADED DIUNIFORMITIES

Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander {\v S}ostak in \cite{BS}. In this paper, the authors generalize the structure of diuniformity in ditopological texture spaces defined in \cite{OB} 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.