Cao, Jiling; Greenwood, Sina; Reilly, Ivan L.(Universitat Politècnica de València, 2001-10-01)
[EN] We investigate various classes of generalized closed sets of a topological space in a unified way by studying the notion of qr-closed sets. New characterizations of some existing classes of generalized closed sets and ...
Cao, Jiling; Greenwood, Sina(Universitat Politècnica de València, 2006-10-01)
[EN] In this paper, we consider the ideal Iσ generated by all σ-nowhere dense sets in a topological space. Properties of this ideal and its relations with the Volterra property are explored. We show that Iσ is compatible ...
Cao, Jiling; Ganster, Maximilian; Reilly, Ivan L.; Steiner, Markus(Universitat Politècnica de València, 2005-04-01)
[EN] We study some new classes of generalized closed sets (in the sense of N. Levine) in a topological space via the associated δ-closure and θ-closure. The relationships among these new classes and existing classes of ...