A ballean (or, equivalently, a coarse structure) is an asymptotic counterpart of a uniform space. We introduce three ultrafilter satellites of a ballean (namely, corona, companion, and corona companion), estimate the basic cardinal invariants of the corona, and characterize the subsets of balleans in terms of companions.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 12, pp. 1698–1706, December, 2015.
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Protasov, I.V., Slobodianiuk, S.V. Ultrafilters on Balleans. Ukr Math J 67, 1922–1931 (2016). https://doi.org/10.1007/s11253-016-1200-y
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DOI: https://doi.org/10.1007/s11253-016-1200-y