Texture spaces with ideal

Abstract

In this paper, the authors define the notion of ideal on texturespaces. The concept of di-local function is also introduced here byutilizing the families of neighborhood structure for a ditopologicaltexture space. These concepts are discussed with a view to findingnew ditopological texture spaces from the original one. Finally, weintroduce and give some properties of weakly bicontinuousdifunction, a subclass of bicontinuous difunction.