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Journals / Konuralp Journal of Mathematics / 2019 / Cilt: 7 - Sayı: 2

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

Merve İLKHAN
Pages
344–351
Publication Date
2019-10-15
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

By using these sets, new types of continuous functions are defined and some of their properties are studied in bitopological spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In theoretical and applied areas of mathematics, one can work with sets endowed with several structures.
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Key Findings & Data:A bitopological space is a set equipped with two topologies.
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Conclusion & Impact:By using these sets, new types of continuous functions are defined and some of their properties are studied in bitopological spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bitopological spaces · $\delta$-open sets · preopen sets

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.

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Cite This Article

İLKHAN, M. (2019). Types of Generalized $\delta$-Open Sets in Bitopological Spaces. Konuralp Journal of Mathematics, Cilt: 7 - Sayı: 2, 344–351. https://ajindex.com/articles/786493

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