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 ...
Kanibir, A.; Reilly, Ivan L.(Universitat Politècnica de València, 2010-04-01)
[EN] Recently the class of almost cl-supercontinuous functions between topological spaces has been studied in some detail. We conside rthis class of functions from the point of view of change(s) of topology. In particular, ...
McCluskey, Aisling; Reilly, Ivan L.(Editorial Universitat Politècnica de València, 2015-04-01)
[EN] Recently the class of strongly faintly $\alpha$-continuous functions between topological spaces has been defined and studied in some detail. We consider this class of functions from the perspective of change(s) of ...
Bayhan, Sadik; Kanibir, A.; Reilly, Ivan L.(Editorial Universitat Politècnica de València, 2013-10-01)
[EN] This paper investigates generalized topological spaces and functions between such spaces from the perspective of change of generalized topology. In particular, it considers the preservation of generalized connectedness ...
Kanibir, A.; Reilly, Ivan L.(Universitat Politècnica de València, 2008-10-01)
[EN] This paper considers six classes of multifunctions between topological spaces, namely almost ℓ−continuous multifunctions, K-almost c−continuous multifunctions, nearly continuous multifunctions, almost nearly continuous ...
Gong, Jianhua; Reilly, Ivan L.(Universitat Politècnica de València, 2007-10-01)
[EN] The main purpose of this paper is to prove the following two theorems, an order hereditary closure preserving sum theorem and an hereditary theorem: (1) If a topological property P satisfies (Σ′) and is closed hereditary, ...
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 ...