- Fundamentals of Contemporary Mathematical Sciences
- Vol: 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 : 4 | Download : 3
Publication Date : 2020-01-31
Article Type : Research
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