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math.FA2018
Ideal convergent subseries in Banach spaces
Marek Balcerzak, Michał Popławski, Artur Wachowicz
Assume that is an ideal on , and is a divergent series in a Banach space . We study the Baire category, and the measure of the set $A(\mat…
math.GN2018
The Baire category of the hyperspace of nontrivial convergent sequences
Michał Popławski
Assume that is a regular space. We study topological properties of the family of nontrivial convergent sequences in equipped with the Vietoris topology. We show th…