Connectedness and Separation in the Category of Closure Spaces

Mehmet Baran, Deniz Tokat, Muammer Kula

In previous papers, various notions of (strongly) closed subobject, (strongly) open subobject, connected and $T_i$, $i = 0,1,2$ objects in a topological category were introduced and compared. The main objective of this paper is to characterize each of these classes of objects in the category of closure spaces as well as to examine how these generalizations are related.