Switch to: References

Citations of:

On cardinal characteristics of Yorioka ideals

Miguel A. Cardona & Diego A. Mejía

Mathematical Logic Quarterly 65 (2):170-199 (2019)

Add citations

You must login to add citations.

Filter-linkedness and its effect on preservation of cardinal characteristics.Jörg Brendle, Miguel A. Cardona & Diego A. Mejía - 2021 - Annals of Pure and Applied Logic 172 (1):102856.details We introduce the property “F-linked” of subsets of posets for a given free filter F on the natural numbers, and define the properties “μ-F-linked” and “θ-F-Knaster” for posets in a natural way. We show that θ-F-Knaster posets preserve strong types of unbounded families and of maximal almost disjoint families. Concerning iterations of such posets, we develop a general technique to construct θ-Fr-Knaster posets (where Fr is the Frechet ideal) via matrix iterations of <θ-ultrafilter-linked posets (restricted to some level of the (...) Download Export citation Bookmark 1 citation
Continuum many different things: Localisation, anti-localisation and Yorioka ideals.Miguel A. Cardona, Lukas Daniel Klausner & Diego A. Mejía - 2024 - Annals of Pure and Applied Logic 175 (7):103453.details Download Export citation Bookmark
(1 other version)Controlling cardinal characteristics without adding reals.Martin Goldstern, Jakob Kellner, Diego A. Mejía & Saharon Shelah - 2021 - Journal of Mathematical Logic 21 (3):2150018.details We investigate the behavior of cardinal characteristics of the reals under extensions that do not add new [Formula: see text]-sequences (for some regular [Formula: see text]). As an application, we show that consistently the following cardinal characteristics can be different: The (“independent”) characteristics in Cichoń’s diagram, plus [Formula: see text]. (So we get thirteen different values, including [Formula: see text] and continuum). We also give constructions to alternatively separate other MA-numbers (instead of [Formula: see text]), namely: MA for [Formula: see (...) Download Export citation Bookmark
(1 other version)Controlling cardinal characteristics without adding reals.Martin Goldstern, Jakob Kellner, Diego A. Mejía & Saharon Shelah - 2020 - Journal of Mathematical Logic 21 (3).details We investigate the behavior of cardinal characteristics of the reals under extensions that do not add new <κ-sequences. As an application, we show that consistently the followi... Download Export citation Bookmark

1