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Journals / Cankaya University Journal of Science and Engineering / 2020 / Cilt: 17 - Sayı: 2

Convergence of the Associated Filters via Set-Operators

Takashi NOİRİ
Sk SELIM
Shyamapada MODAK
Pages
101–107
Publication Date
2020-11-01
DOI
—
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AI Summary & Key Takeaways

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

In this paper, we define several set-operators on an ideal topological space (X, τ, I) and investigate the relationship between the set-operators and limit points of the associated filter FI.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let (X, τ) be a topological space.
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Key Findings & Data:For a proper ideal I on (X, τ), the associated filter FI is defined and investigated in [1].
💡
Conclusion & Impact:In this paper, we define several set-operators on an ideal topological space (X, τ, I) and investigate the relationship between the set-operators and limit points of the associated filter FI.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:ideal · Filter · Associated filter

Abstract

Let (X, τ) be a topological space. For a proper ideal I on (X, τ), the associated filter FI is defined and investigated in [1]. In this paper, we define several set-operators on an ideal topological space (X, τ, I) and investigate the relationship between the set-operators and limit points of the associated filter FI.

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Cite This Article

NOİRİ, T., SELIM, S., MODAK, S. (2020). Convergence of the Associated Filters via Set-Operators. Cankaya University Journal of Science and Engineering, Cilt: 17 - Sayı: 2, 101–107. https://ajindex.com/articles/745986

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