14 citations · 71 across the 17 of their papers we have counts for
18 papers
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…
Some notes about power residues modulo prime
Yuki Kiriu, Diego A. Mejía
Let be a prime. We classify the odd primes such that the equation has a solution, concretely, we find a subgroup of the multip…
Continuum Many Different Things: Localisation, Anti-Localisation and Yorioka Ideals
Miguel Antonio Cardona, Lukas Daniel Klausner, Diego Alejandro Mejía
Combining creature forcing approaches from arXiv:1003.3425 and arXiv:1402.0367, we show that, under CH, there is a proper -bounding poset with -cc that forces contin…
Preservation of splitting families and cardinal characteristics of the continuum
Martin Goldstern, Jakob Kellner, Diego A. Mejía +1
We show how to construct, via forcing, splitting families than are preserved by a certain type of finite support iterations. As an application, we construct a model where 15 classi…
Controlling cardinal characteristics without adding reals
Martin Goldstern, Jakob Kellner, Diego A. Mejía +1
We investigate the behavior of cardinal characteristics of the reals under extensions that do not add new -sequences (for some regular ). As an application, we show that c…
Level sets of the Hyperbolic Derivative for analytic self-maps of the unit disk
Juan Arango, Hugo Arbeláez, Diego Mejía
Let the function be holomorphic in the unit disk of the complex plane and let . We study the level sets and the criti…
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…
Many Different Uniformity Numbers of Yorioka Ideals
Lukas Daniel Klausner, Diego Alejandro Mejía
Using a countable support product of creature forcing posets, we show that consistently, for uncountably many different functions the associated Yorioka ideals' uniformity numbers…
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…
Some models produced by 3D iterations
Diego Alejandro Mejía
We construct models, by three-dimensional arrays of ccc posets, where many classical cardinal characteristics of the continuum are pairwise different.
Coding Polish spaces
Diego Alejandro Mejía
We use countable metric spaces to code Polish metric spaces and evaluate the complexity of some statements about these codes and of some relations that can be determined by the cod…
The left side of Cichoń's diagram
Martin Goldstern, Diego A. Mejía, Saharon Shelah
Using a finite support iteration of ccc forcings, we construct a model of $\aleph_1<\mathrm{add}(\mathcal{N})<\mathrm{cov}(\mathcal{N})<\mathfrak{b}<\mathrm{non}(\mathcal{M})<\math…
Borel computation of names in template iterations
Diego Alejandro Mejía
We prove that, for a suitable iteration along a template, we can compute any name for a real from a Borel function coded in the ground model evaluated at only countably many of the…
Preservation properties for iterations with finite support
Diego Alejandro Mejía
We present the classical theory of preservation of -unbounded families in generic extensions by ccc posets, where is a definable relation of certain type on…
Rothberger gaps in fragmented ideals
Jörg Brendle, Diego A. Mejía
The~\emph{Rothberger number} of a definable ideal on is the least cardinal such that there exists a Rothberger gap of type $(ω,κ)…