2 papers
math.LO2026
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.LO2025
Cardinal characteristics associated with small subsets of reals
Miguel A. Cardona, Adam Marton, Jaroslav Supina
Inspired by BartoszyÅski'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 p…