Abstract:
In this thesis, we examine the category of ordered RELative spaces. We show that it is a
normalized and geometric topological category and find its discrete (resp. indiscrete) structures,
and give the characterization of local T0, local T
′0
and local T1 ordered RELative spaces.
Furthermore, we characterize explicitly several notions of T0’s and T1 objects in O-REL and
study their mutual relationship. Finally, it is shown that the category of T0’s (resp. T1) ordered
RELative spaces are quotient reflective subcategories of O-REL and T
′0
O-REL is a normalized
topological category.
