S. Gła̧b

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20112025

most citedAdditivity and lineability in vector spaces

16 citations · 40 across the 20 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.CA2019

Cardinal functions of purely atomic measures

Szymon Głab, Jacek Marchwicki

Let $μ$ be a purely atomic measure. By $f_{μ} : [0, \infty) \to {0, 1, 2, \dots, ω, c}$ we denote its cardinal function $f_{μ} (t) = ∣ {A \subset N : μ (A) = t} ∣$ . We study t…

math.GN2019

A lower density operator for the Borel algebra

Marek Balcerzak, Szymon Głab

We prove that the existence of a Borel lower density operator (a Borel lifting) with respect to the $σ$ -ideal of countable sets, for an uncountable Polish space, is equivalent to t…