Abstract:
In this thesis, we considered the category of interval space and show that it is normalized
topological category. Further, we examined the local T0 and local T1 objects and notion
of closedness in this category. Moreover, we extended the point free T0, T0 and T1
interval space and examined their mutual relationship. Finally, we characterized the
zero dimensionality and D-connectedness in interval space and compared all the results.
