4 papers
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…
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…
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.…
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…