22 citations · 31 across the 9 of their papers we have counts for
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math.NT2023★ 2 cited
Densities for sets of natural numbers vanishing on a given family
Rafał Filipów, Jacek Tryba
Abstract upper densities are monotone and subadditive functions from the power set of positive integers into the unit real interval that generalize the upper densities used in numb…
math.GN2023★ 5 cited
New Hindman spaces
Rafał Filipów, Krzysztof Kowitz, Adam Kwela +1
We introduce a method that allows to turn topological questions about Hindman spaces into purely combinatorial questions about the Katětov order of ideals on . We also…
math.CA2023★ 1 cited
The ideal test for the divergence of a series
Rafał Filipów, Adam Kwela, Jacek Tryba
We generalize the classical Olivier's theorem which says that for any convergent series with positive nonincreasing real terms the sequence tends to zero. Ou…