7 papers · 1 filter
Forcing constellations of Cichoń's diagram by using the Tukey order
Miguel A. Cardona, Diego A. Mejía
We use known finite support iteration techniques to present various examples of models where several cardinal characteristics of Cichoń's diagram are pairwise different. We show so…
Cichoń's maximum without large cardinals
Martin Goldstern, Jakob Kellner, Diego A. Mejía +1
Cichoń's diagram lists twelve cardinal characteristics (and the provable inequalities between them) associated with the ideals of null sets, meager sets, countable sets, and -co…
Controlling classical cardinal characteristics while collapsing cardinals
Martin Goldstern, Jakob Kellner, Diego A. Mejía +1
Given a forcing notion that forces certain values to several classical cardinal characteristics of the reals, we show how we can compose with a collapse (of a cardinal $λ>κ…
A note on "Another ordering of the ten cardinal characteristics in Cichoń's Diagram" and further remarks
Diego Alejandro Mejía
In this note, we relax the hypothesis of the main results in Kellner-Shelah-Tǎnasie's "Another ordering of the ten cardinal characteristics in Cichoń's diagram".
Filter-linkedness and its effect on preservation of cardinal characteristics
Jörg Brendle, Miguel A. Cardona, Diego A. Mejía
We introduce the property ``-linked'' of subsets of posets for a given free filter on the natural numbers, and define the properties ``--linked'' and ``--Knaster…
Matrix iterations with vertical support restrictions
Diego A. Mejía
We use coherent systems of FS iterations on a power set, which can be seen as matrix iteration that allows restriction on arbitrary subsets of the vertical component, to prove gene…