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Diego A. Mejía [5]Diego Alejandro Mejía [1]
  1.  11
    Coherent Systems of Finite Support Iterations.Vera Fischer, Sy D. Friedman, Diego A. Mejía & Diana C. Montoya - 2018 - Journal of Symbolic Logic 83 (1):208-236.
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  2.  30
    Matrix Iterations and Cichon’s Diagram.Diego Alejandro Mejía - 2013 - Archive for Mathematical Logic 52 (3-4):261-278.
    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 values (two regular values, the third one with uncountable cofinality). Also, mixing this with the techniques in J Symb Log 56(3):795–810, 1991, we can prove that it is consistent with ZFC to assign, at the same time, several arbitrary regular values on the left hand side of Cichon’s diagram.
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  3.  7
    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.
    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 (...)
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  4.  25
    Template Iterations with Non-Definable Ccc Forcing Notions.Diego A. Mejía - 2015 - Annals of Pure and Applied Logic 166 (11):1071-1109.
  5.  5
    On Cardinal Characteristics of Yorioka Ideals.Miguel A. Cardona & Diego A. Mejía - 2019 - Mathematical Logic Quarterly 65 (2):170-199.
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  6.  2
    Controlling Cardinal Characteristics Without Adding Reals.Martin Goldstern, Jakob Kellner, Diego A. Mejía & Saharon Shelah - forthcoming - Journal of Mathematical Logic:2150018.
    We investigate the behavior of cardinal characteristics of the reals under extensions that do not add new [Formula: see text]-sequences. As an application, we show that consistently the following cardinal characteristics can be different: The characteristics in Cichoń’s diagram, plus [Formula: see text].. We also give constructions to alternatively separate other MA-numbers, namely: MA for [Formula: see text]-Knaster from MA for [Formula: see text]-Knaster; and MA for the union of all [Formula: see text]-Knaster forcings from MA for precaliber.
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