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math.GN2024
Borel complexity of sets of ideal limit points
Rafal Filipow, Adam Kwela, Paolo Leonetti
Let be an uncountable Polish space and let be an ideal on . A point is an -limit point of a sequence taking values in if ther…
math.FA2024
Functions of bounded variation from ideal perspective
Jacek Gulgowski, Adam Kwela, Jacek Tryba
We present a unified approach to two classes of Banach spaces defined with the aid of variations: Waterman spaces and Chanturia classes. Our method is based on some ideas coming fr…
math.LO2024
More on yet another ideal version of the bounding number
Adam Kwela
This is a continuation of the paper [J. Symb. Log. 87 (2022), 1065--1092]. For an ideal on we denote $\mathcal{D}_{\mathcal{I}}=\{f\inω^ω: f^{-1}[\{n\}]\in\mathca…