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 …

Based on works of Saharon Shelah, Jakob Kellner, and Anda T\u {a} nasie for controlling the
cardinal characteristics of the continuum in ccc forcing extensions, in the author's master's …

Let $\mathcal {E} $ denote the $\sigma $-ideal generated by closed null sets on $\mathbb
{R} $. We show that the uniformity and the covering of $\mathcal {E} $ can be added to …

In this article, we introduce a formal definition of the concept of probability tree and conduct a
detailed and comprehensive study of its fundamental structural properties. In particular, we …

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 …

This article explores the concept of absoluteness in the context of mathematical analysis,
focusing specifically on the Riemann integral on Rn. In mathematical logic, absoluteness …

Saharon Shelah in [5] introduced a finite-support iteration using finitely additive measures
(fams) to prove that, consistently, cov (N) may have countable cofinality. Later, in [3], Jakob …

Saharon Shelah in [5] introduced a finite-support iteration using finitely additive measures
(fams) to prove that, consistently, cov (N) may have countable cofinality. Later, in [3], Jakob …

Abstract Saharon Shelah in 2000 (see [6]) introduced a finite-support iteration using finitely
additive measures to prove that, consistently, cov (N) may have countable cofinality. In 2019 …

arXiv:submit/6154075 [math.LO] 24 Jan 2025 Page 1 MORE SEPARATIONS OF CARDINAL
CHARACTERISTICS OF THE STRONG MEASURE ZERO IDEAL MIGUEL A. CARDONA …