Types of Generalized $\delta$-Open Sets in Bitopological Spaces

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Konuralp Journal of Mathematics
Volume:7 Issue:2
Types of Generalized $\delta$-Open Sets in Bitopological Spaces

Types of Generalized $\delta$-Open Sets in Bitopological Spaces

Authors : Merve İLKHAN

Pages : 344-351

View : 25 | Download : 14

Publication Date : 2019-10-15

Article Type : Research Paper

Abstract :In theoretical and applied areas of mathematics, one can work with sets endowed with several structures. A bitopological space is a set equipped with two topologies. In this paper, some types of open sets weaker than delta-open sets are generalized to bitopological spaces and their corresponding interior and closure operators are introduced. The relations between these sets and counter examples for the reverse relations are given. By using these sets, new types of continuous functions are defined and some of their properties are studied in bitopological spaces.
Keywords : Bitopological spaces, delta open sets, preopen sets, semiopen sets

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