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

Year 2019, Volume: 7 Issue: 2, 344 - 351, 15.10.2019

Merve İlkhan

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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