@article{Dikranjan_Protasov_Protasova_Zava_2019, title={Balleans, hyperballeans and ideals}, volume={20}, url={https://polipapers.upv.es/index.php/AGT/article/view/11645}, DOI={10.4995/agt.2019.11645}, abstractNote={<p>A ballean B (or a coarse structure) on a set X is a family of subsets of X called balls (or entourages of the diagonal in X × X) dened in such a way that B can be considered as the asymptotic counterpart of a uniform topological space. The aim of this paper is to study two concrete balleans dened by the ideals in the Boolean algebra of all subsets of X and their hyperballeans, with particular emphasis on their connectedness structure, more specically the number of their connected components.</p>}, number={2}, journal={Applied General Topology}, author={Dikranjan, Dikran and Protasov, Igor V. and Protasova, Ksenia and Zava, Nicolò}, year={2019}, month={Oct.}, pages={431–447} }