18 citations · 48 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
The covering number of the strong measure zero ideal can be above almost everything else
Miguel A. Cardona, Diego A. Mejía, Ismael E. Rivera-Madrid
We show that certain type of tree forcings, including Sacks forcing, increases the covering of the strong measure zero ideal . As a consequence, in Sacks model, such…
On cardinal characteristics of Yorioka ideals
Miguel A. Cardona, Diego A. Mejía
Yorioka [J. Symbolic Logic 67(4):1373-1384, 2002] introduced a class of ideals (parametrized by reals) on the Cantor space to prove that the relation between the size of the contin…
Coherent systems of finite support iterations
Vera Fischer, Sy D. Friedman, Diego A. Mejía +1
We introduce a forcing technique to construct three-dimensional arrays of generic extensions through FS (finite support) iterations of ccc posets, which we refer to as 3D-coherent…
Template iterations with non-definable ccc forcing notions
Diego Alejandro Mejía
We present a version with non-definable forcing notions of Shelah's theory of iterated forcing along a template. Our main result, as an application, is that, if is a measurable…
Models of some cardinal invariants with large continuum
Diego Alejandro Mejía
We extend the applications of the techniques used in Arch Math Logic 52:261-278, 2013, to present various examples of consistency results where some cardinal invariants of the cont…
Matrix iterations and Cichon's diagram
Diego Alejandro Mejía
Using matrix iterations of ccc posets, we prove the consistency with ZFC of some cases where the cardinals on the right hand side of Cichon's diagram take two or three arbitrary va…