Abstract
In previous papers, several T0, T2 objects, D-connectedness and zero-dimensionality in topological categories have been introduced and compared. In this paper, we characterize separated objects, T0, T0, T1, Pre -T2 and several versions of Hausdorff objects in the category of interval spaces and interval-preserving mappings and examine their mutual relationship. Further, we give the characterization of the notion of closedness and D-connectedness in interval spaces and study some of their properties. Finally, we introduce zero-dimensionality in this category and show its relation to D-connectedness.