Ultrafilters on balleans

  • I. V. Protasov Kyiv Nat. Taras Shevchenko Univ.
  • S. V. Slobodianiuk

Abstract

A ballean (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), evaluate the basic cardinal invariants of the corona and characterize the subsets of balleans in terms of companions.
Published
25.12.2015
How to Cite
ProtasovI. V., and SlobodianiukS. V. “Ultrafilters on Balleans”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 12, Dec. 2015, pp. 1698-06, http://umj.imath.kiev.ua/index.php/umj/article/view/2102.
Section
Research articles