5 papers · 1 filter
Todorcevic's Problem on Rado's Conjecture
Monroe Eskew, Rahman Mohammadpour
In his Mostowski lecture in WrocÅaw in 2024, Stevo TodorÄeviÄ asked whether it is consistent that Rado's Conjecture holds at two successive cardinals. We show that it is consist…
A Note on a Theorem of Apter
Rahman Mohammadpour, Otto Rajala, Sebastiano Thei
We show that the consistency of is measurable implies the consistency of is the least strongly regular cardin…
On Indestructible Strongly Guessing Models
Rahman Mohammadpour, Boban Velickovic
In \cite{MV} we defined and proved the consistency of the principle which implies that many consequences of strong forcing axioms hold simultaneously at $Ï…
Martin's Axiom and Weak Kurepa Hypothesis
Rahman Mohammadpour
I show that it is consistent relative to the consistency of a Mahlo cardinal that Martin's axiom holds at , but the weak Kurepa Hypothesis fails. This answers a question pose…
A Road To Compactness Through Guessing Models
Rahman Mohammadpour
The compactness phenomenon is one of the featured aspects of structuralism in mathematics. In simple and broad words, a compactness property holds in a structure if a related prope…