@article{Protasov_Protasova_2020, title={Closeness and linkness in balleans}, volume={53}, url={http://matstud.org.ua/ojs/index.php/matstud/article/view/9}, DOI={10.30970/ms.53.1.100-108}, abstractNote={<p>A set $X$ endowed with a coarse structure is called ballean or coarse space. For a ballean $(X, \mathcal{E})$, we say that two subsets $A$, $B$ of $X$ are close (linked) if there exists an entourage $E\in \mathcal{E}$ such that $A\subseteq E [B]$, $B\subseteq E[A]$ (either $A, B$ are bounded or contain unbounded close subsets). We explore the following general question: which information about a ballean is contained and can be extracted from the relations of closeness and linkness.</p>}, number={1}, journal={Matematychni Studii}, author={Protasov, I.V. and Protasova, K.}, year={2020}, month={Mar.}, pages={100-108} }