Monroe Eskew

activity

20162026

most citedOn the consistency of local and global versions of Chang's Conjecture

12 citations · 14 across the 21 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.LO2016

Strongly proper forcing and some problems of Foreman

Sean Cox, Monroe Eskew

We provide solutions to several problems of Foreman about ideals, several of which are closely related to Mitchell's notion of \emph{strongly proper} forcing. We prove: 1) Presatur…

math.LO2016★ 12 cited

On the consistency of local and global versions of Chang's Conjecture

Monroe Eskew, Yair Hayut

We show that for many pairs of infinite cardinals $κ > μ^{+} > μ$ , $(κ^{+}, κ) ↠ (μ^{+}, μ)$ is consistent relative to the consistency of a supercompact cardinal. We als…

math.LO2016

Rigid ideals

Brent Cody, Monroe Eskew

An ideal $I$ on a cardinal $κ$ is called \emph{rigid} if all automorphisms of $P (κ) / I$ are trivial. An ideal is called \emph{ $μ$ -minimal} if whenever $G \subseteq P (κ) / I$ is generic…