3 papers
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 the…
math.GN2025
Relative cofinality of ideals
Adam Marton, Miroslav Repický
We introduce a two-parameter modification of the cofinality invariant of ideals. This allows us to include the interaction of a pair of ideals in the study of base-like structures.…
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…