3 papers
math.GN2025
An Ideal Zoo in the Baire Space
Łukasz Mazurkiewicz, Marcin Michalski, Szymon Żeberski
In this paper, we study the translations into the Baire space of several well-known -ideals and families originally defined on the Cantor space, using their combinatorial charac…
math.GN2024
On algebraic sums, trees and ideals in the Baire space
Łukasz Mazurkiewicz, Marcin Michalski, Robert Rałowski +1
We work in the Baire space equipped with the coordinate-wise addition . Consider a ideal and a family of some kind of perfect trees…
math.GN2023
Sequences with increasing subsequence
Łukasz Mazurkiewicz, Szymon Żeberski
We study analytic and Borel subsets defined similarily to the old example of analytic complete set given by Luzin. Luzin's example, which is essentially a subset of the Baire space…