doiSerbia

Connectedness and separation in the category of closure spaces

Baran Mehmet (Erciyes University, Faculty of Arts and Sciences, Department of Mathematics, Kayseri, Turkey)
Tokat Deniz (Erciyes University, Faculty of Arts and Sciences, Department of Mathematics, Kayseri, Turkey)
Kula Muammer (Erciyes University, Faculty of Arts and Sciences, Department of Mathematics, Kayseri, Turkey)

In previous papers, various notions of (strongly) closed subobject, (strongly) open subobject, connected and Ti, 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. 2010 Mathematics Subject Classifications. 54B30, 54D10, 54A05, 54A20, 18B99, 18D15. .

Keywords: topological category, closure space, separation, connectedness