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Journals / Fundamentals of Contemporary Mathematical Sciences / 2026 / Volume: 1 Issue: 1

Strongly Far Proximity and Hyperspace Topology

James F. Peters(University of Manitoba)0000-0002-1026-4638
Clara Guadagni(University of Salerno)
Pages
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Publication Date
2020-01-31
DOI
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AI Summary & Key Takeaways

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

For this reason, we consider at first \textit{Lodato proximity} $\delta$ and then, by this, we define a stronger proximity by using the Efremovi\v{c} property related to proximity.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper introduces strongly far in proximity spaces.
📊
Key Findings & Data:Nearness expressions are very useful and also represent a powerful tool because of the relation existing among \textit{Efremovi\v c proximities}, \textit{Weil uniformities} and $\mbox{T}_2$ compactifications.
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Conclusion & Impact:For this reason, we consider at first \textit{Lodato proximity} $\delta$ and then, by this, we define a stronger proximity by using the Efremovi\v{c} property related to proximity.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hit-and-miss topology · Hyperspaces · Proximity

Abstract

This paper introduces strongly far in proximity spaces. Usually, when we talk about proximities, we mean \textit{Efremovi\v{c} proximities}. Nearness expressions are very useful and also represent a powerful tool because of the relation existing among \textit{Efremovi\v c proximities}, \textit{Weil uniformities} and $\mbox{T}_2$ compactifications. But sometimes \textit{Efremovi\v c proximities} are too strong. So we want to distinguish between a weaker and a stronger forms of proximity. For this reason, we consider at first \textit{Lodato proximity} $\delta$ and then, by this, we define a stronger proximity by using the Efremovi\v{c} property related to proximity.

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Cite This Article

Peters, J. F., Guadagni, C. (2020). Strongly Far Proximity and Hyperspace Topology. Fundamentals of Contemporary Mathematical Sciences, Volume: 1 Issue: 1. https://ajindex.com/articles/1486336

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