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math.LO2026
Revisiting and through Interval Structures
Miguel A. Cardona, Adam Marton
We investigate a family of relational systems arising from interval partitions of , inspired by Vojtáš's characterization of the bounding and dominating numbers. By varying t…
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…