Sean D. Cox

activity

20112022

most citedLayered posets and Kunen's universal collapse

6 citations · 16 across the 19 of their papers we have counts for

collaborators

Showing 2020Show all

5 papers · 1 filter

math.RT2020

Maximum deconstructibility in module categories

Sean Cox

We prove that Vopěnka's Principle implies that for every class $X$ of modules over any ring, the class of \textbf{ $X$ -Gorenstein Projective modul…

math.LO2020

Forcing axioms and the complexity of non-stationary ideals

Sean Cox, Philipp Lücke

We study the influence of strong forcing axioms on the complexity of the non-stationary ideal on $ω_{2}$ and its restrictions to certain cofinalities. Our main result shows that the…

math.LO2020

Filtration Games and Potentially Projective Modules

Sean D. Cox

The notion of a \textbf{ $C$ -filtered} object, where $C$ is some (typically small) collection of objects in a Grothendieck category, has become ubiq…

math.LO2020

Compactness versus hugeness at successor cardinals

Sean Cox, Monroe Eskew

If $κ$ is regular and $2^{< κ} \leq κ^{+}$ , then the existence of a weakly presaturated ideal on $κ^{+}$ implies $□_{κ}^{*}$ . This partially answers a question of Foreman and Magidor ab…

math.LO2020

The $Π_{1}^{1} ↓$ Löwenheim-Skolem-Tarski property of Stationary Logic

Sean Cox

Fuchino-Maschio-Sakai~\cite{FuchinoEtAl_DRP_LST} proved that the Löwenheim-Skolem-Tarski (LST) property of Stationary Logic is equivalent to the Diagonal Reflection Principle on in…

Maximum deconstructibility in module categories

Forcing axioms and the complexity of non-stationary ideals

Filtration Games and Potentially Projective Modules

Compactness versus hugeness at successor cardinals

The Π11​↓ Löwenheim-Skolem-Tarski property of Stationary Logic

The $Π_{1}^{1} ↓$ Löwenheim-Skolem-Tarski property of Stationary Logic