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math.GN2021
Another characterization of meager ideals
Marek Balcerzak, Szymon Glab, Paolo Leonetti
We show that an ideal on the positive integers is meager if and only if there exists a bounded nonconvergent real sequence such that the set of subsequences [resp…
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 -ideal of countable sets, for an uncountable Polish space, is equivalent to t…