doiSerbia

T0 and T1 semiuniform convergence spaces

Baran Mehmet (Department of Mathematics, Erciyes University, Kayseri, Turkey)
Kula Sumeyye (Department of Mathematics, Erciyes University, Kayseri, Turkey)
Erciyes Ayhan (Department of Mathematics, Aksaray University, Aksaray, Turkey)

In previous papers, various notions of T0 and T1 objects in a topological category were introduced and compared. In this paper, we characterize each of these classes of objects in categories of various types of uniform convergence spaces and compare them with the usual ones as well as examine how these generalizations are related.

Keywords: Topological category, semiuniform convergence space, T0 objects, T1 objects