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- Title
Density and Capacity of Balleans Generated By Filters.
- Authors
Brzeska, A.
- Abstract
We consider a ballean πΉ = (X, P,B) with an infinite support X and a free filter π on X and define BPΓπ(x, (πΌ, F)) for every πΌ π P and F π π. The ballean (X, PΓπ, BPΓπ) is called a ballean-filter mix of πΉ and π and denoted by πΉ(B, π). It was introduced by O. Petrenko and I. Protasov in [Mat. Stud., 38, No. 1, 3β11 (2012)] and used to construct a nonmetrizable ballean of the FrΓ©chet group. We compare some cardinal invariants. In particular, we give a partial answer to the following question: If we mix an ordinal unbounded ballean with a free filter of the subsets of its support, then is it true that the density of mix structure is equal to its capacity, as in the case of the original balleans?
- Subjects
DENSITY; CARDINAL numbers
- Publication
Ukrainian Mathematical Journal, 2021, Vol 73, Issue 4, p547
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-021-01942-x