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math.LO2026
The Higher Closed Null Ideal(s)
Adam Marton, Jaroslav Šupina, Miroslav Repický +1
We generalise the -ideal generated by the closed Lebesgue null subsets of the Cantor space to the context of higher Cantor spaces for an uncountable…
math.LO2024
Slalom numbers
Miguel A. Cardona, Viera Gavalova, Diego A. Mejia +2
The paper is an extensive and systematic study of cardinal invariants we call slalom numbers, describing the combinatorics of sequences of sets of natural numbers. Our general appr…
math.LO2024
Cardinal characteristics associated with small subsets of reals
Miguel A. Cardona, Adam Marton, Jaroslav Supina
Inspired by Bartoszyński's work on small sets, we introduce a new ideal defined by interval partitions on natural numbers and summable sequences of positive reals. Similarly, we pr…