Abstract:
In this thesis, we look at the topological Category of QV-closure space, and explicitly
examine the local Pre-T2 objects in this category. Moreover we characterize local
Hausdorff objects in L-cls by using local Pre-T2 objects and local T0 objects. It is
interesting to see that the local Hausdorff objects in L-cls are all local discrete objects.
At the end, we characterize D-connected objects in L-cls, and show that every local
Hausdorff objects are D-connected but converse is not true in general, and we give a
counter example