A Note on Θ-generalized Closed Sets
نویسنده
چکیده
The purpose of this note is to strengthen several results in the literature concerning the preservation of θ-generalized closed sets. Also conditions are established under which images and inverse images of arbitrary sets are θ-generalized closed. In this process several new weak forms of continuous functions and closed functions are developed. 2000 Mathematics Subject Classification. Primary 54C10.
منابع مشابه
r-(τi, τj)-θ-Generalized Fuzzy Closed Sets in Smooth Bitopological Spaces
In this paper a new class of fuzzy sets, namely r-(τi, τj)-θ-generalized fuzzy closed sets is introduced for smooth bitopological spaces. This class falls strictly in between the class of r-(τj, τi)fuzzy θ-closed sets and the class of r-(τi, τj)generalized fuzzy closed sets. Furthermore, by using the class of r-(τi, τj)-θgeneralized fuzzy closed sets we establish a new fuzzy closure operator wh...
متن کاملOn Regular Generalized $delta$-closed Sets in Topological Spaces
In this paper a new class of sets called regular generalized $delta$-closed set (briefly rg$delta$-closed set)is introduced and its properties are studied. Several examples are provided to illustrate the behaviour of these new class of sets.
متن کاملMore On λκ−closed sets in generalized topological spaces
In this paper, we introduce λκ−closed sets and study its properties in generalized topological spaces.
متن کاملδ-closure, θ-closure and generalized closed sets
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 generalized closed sets are investigated. In the last section we provide an extensive and more or less complete survey on separation axioms characterized via singletons. 2000 AMS Clas...
متن کامل