Abstract
UDC 519.51 We consider a ballean with an infinite support and a free filter on and define for every and The ballean will be called the <em>ballean-filter mix</em> of and and denoted by It was introduced in [O. V. Petrenko, I. V. Protasov, <em>Balleans and filters</em>, Mat. Stud., <strong>38</strong>, No. 1, 3–11 (2012)] and was used to construction of a non-metrizable Frechet group ballean. In this paper some cardinal invariants are compared. In particular, we give a partial answer to the question: if we mix an ordinal unbounded ballean with a free filter of the subsets of its support, will the mix-structure's density be equal to its capacity, as it holds in the original balleans?
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