Zobrazeno 1 - 10
of 132
pro vyhledávání: '"Mejia, Diego"'
A proper subdomain $G$ of the unit disk $\mathbb{D}$ is horocyclically convex (horo-convex) if, for every $\omega \in \mathbb{D}\cap \partial G$, there exists a horodisk $H$ such that $\omega \in \partial H$ and $G\cap H=\emptyset$. In this paper we
Externí odkaz:
http://arxiv.org/abs/2407.21271
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 approach, based on relational systems, covers many such cardinal character
Externí odkaz:
http://arxiv.org/abs/2406.19901
Based on the work of Shelah, Kellner, and T\u{a}nasie (Fund. Math., 166(1-2):109-136, 2000 and Comment. Math. Univ. Carolin., 60(1):61-95, 2019), and the recent developments in the third author's master's thesis, we develop a general theory of iterat
Externí odkaz:
http://arxiv.org/abs/2406.09978
Autor:
Mejía, Diego A.
Cicho\'n's diagram describes the connections between combinatorial notions related to measure, category, and compactness of sets of irrational numbers. In the second part of the 2010's, Goldstern, Kellner and Shelah constructed a forcing model of Cic
Externí odkaz:
http://arxiv.org/abs/2402.11852
Autor:
Mejía, Diego A.
We present a detailed general framework to describe the forcing $\tilde{\mathbb{E}}$, defined by Kellner, Shelah and Tan\u{a}sie to prove the consistency with ZFC of an alternative order of Cicho\'n's maximum. Our presentation is close to the framewo
Externí odkaz:
http://arxiv.org/abs/2402.04706
Denote by $\mathcal{N}\!\mathcal{A}$ and $\mathcal{MA}$ the ideals of null-additive and meager-additive subsets of $2^\omega$, respectively. We prove in ZFC that $\mathrm{add}(\mathcal{N}\!\mathcal{A})=\mathrm{non}(\mathcal{N}\!\mathcal{A})$ and intr
Externí odkaz:
http://arxiv.org/abs/2401.15364
The notion of $\theta$-FAM-linkedness, introduced in the second author's master thesis, is a formalization of the notion of strong FAM limits for intervals, whose initial form and applications have appeared in the work of Saharon Shelah, Jakob Kellne
Externí odkaz:
http://arxiv.org/abs/2312.13443
Let $\mathcal{SN}$ be the $\sigma$-ideal of the strong measure zero sets of reals. We present general properties of forcing notions that allow to control of the additivity of $\mathcal{SN}$ after finite support iterations. This is applied to force th
Externí odkaz:
http://arxiv.org/abs/2309.01931
Publikováno v:
Kyoto Daigaku Suurikaiseki Kenkyujo Kokyuroku 2023
This paper is intended to survey the basics of localization and anti-localization cardinals on the reals, and its interplay with notions and cardinal characteristics related to measure and category.
Comment: 31 pages, 1 figure, survey paper
Comment: 31 pages, 1 figure, survey paper
Externí odkaz:
http://arxiv.org/abs/2305.03248
Autor:
Cardona, Miguel A., Mejía, Diego A.
Publikováno v:
Annals of Pure and Applied Logic, Volume 176, Issue 4, 2025,103537
We improve the previous work of Yorioka and the first author about the combinatorics of the ideal $\mathcal{SN}$ of strong measure zero sets of reals. We refine the notions of dominating systems of the first author and introduce the new combinatorial
Externí odkaz:
http://arxiv.org/abs/2304.12805