Monroe Eskew

activity

20182022

most citedMutually embeddable models of ZFC

1 citations · 1 across the 8 of their papers we have counts for

collaborators

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12 papers · 1 filter

math.LO2022

Weak saturation properties and side conditions

Monroe Eskew

Towards combining "compactness" and "hugeness" properties at $ω_{2}$ , we investigate the relevance of side-conditions forcing. We reduce the upper bound on the consistency strength o…

math.LO2021★ 1 cited

Mutually embeddable models of ZFC

Monroe Eskew, Sy-David Friedman, Yair Hayut +1

We investigate systems of transitive models of ZFC which are elementarily embeddable into each other and the influence of definability properties on such systems.

math.LO2021

Strong independence and its spectrum

Monroe Eskew, Vera Fischer

For $μ, κ$ infinite, say $A \subseteq [κ]^{κ}$ is a $(μ, κ)$ -maximal independent family if whenever $A_{0}$ and $A_{1}$ are pairwise disjoint non-empty in $[\…

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.LO2019

On a strengthening of Jónssonness for $ℵ_{ω}$

Monroe Eskew

We discuss a system of strengthenings of " $ℵ_{ω}$ is Jónsson" indexed by real numbers, and identify a strongest one. We give a proof of a theorem of Silver and show that there i…

math.LO2019

More rigid ideals

Monroe Eskew

We extend prior results of Cody-Eskew, showing the consistency of GCH with the statement that for all regular cardinals $κ \leq λ$ , where $κ$ is the successor of a regular cardinal,…

Weak saturation properties and side conditions

Mutually embeddable models of ZFC

Strong independence and its spectrum

Compactness versus hugeness at successor cardinals

On a strengthening of Jónssonness for ℵω​

More rigid ideals

On a strengthening of Jónssonness for $ℵ_{ω}$