  This article is a continuation of my former article "On Connectivity Spaces".
After some brief historical references relating to the subject, separation
spaces and then adjoint notions of connective representation and connective
foliation are developed. The connectivity order previously defined only in the
finite case is now generalised to all connectivity spaces, and so to connective
foliations. Finally, we start the study of some functorial relations between
connectivity and diffeological spaces, and we give a characterization of
diffeologisable connectivity spaces.
