ACTA MATHEMATICA HUNGARICA, cilt.133, ss.14-32, 2011 (SCI-Expanded)
In previous papers, various notions of (strongly) closed subobject, (strongly) open subobject, connected, compact 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 Cauchy spaces as well as to examine how these generalizations are related.