$H(i)$ Connected ditopological texture space

Résumé

In this paper, we introduce the fundamental aspect of H(i) connected ditopological texture space, before proving we develop some basic key  of bicontinuity and connectedness in term of ditopological texture space which will helpful in H(i) connected ditopological texture space. We establish some correspondence related to known structure such as bitopological space, fuzzy lattice and topological space.