Strongly Far Proximity and Hyperspace Topology

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Fundamentals of Contemporary Mathematical Sciences
Volume:1 Issue:1
Strongly Far Proximity and Hyperspace Topology

Strongly Far Proximity and Hyperspace Topology

Authors : James F PETERS, Clara GUADAGNİ

Pages : 23-29

View : 31 | Download : 9

Publication Date : 2020-01-31

Article Type : Research Paper

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.
Keywords : Hit and miss topology, Hyperspaces, Proximity, Strongly far

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