12 citations · 14 across the 21 of their papers we have counts for
9 papers · 1 filter
On a strengthening of Jónssonness for
Monroe Eskew
We discuss a system of strengthenings of " 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…
Embeddings into outer models
Monroe Eskew, Sy-David Friedman
We explore the possibilities for elementary embeddings , where and are models of ZFC with the same ordinals, , and has access to large piece…
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 , where is the successor of a regular cardinal,…
Generic large cardinals as axioms
Monroe Eskew
We argue against Foreman's proposal to settle the continuum hypothesis and other classical independent questions via the adoption of generic large cardinal axioms.
Some mutually inconsistent generic large cardinals
Monroe Eskew
Improving a result of Woodin, we identify some classes of individually consistent but mutually inconsistent generic large cardinal axioms.
Coherent forests
Monroe Eskew
A forest is a generalization of a tree, and here we consider the Aronszajn and Suslin properties for forests. We focus on those forests satisfying coherence, a local smallness prop…
Nonregular ideals
Monroe Eskew
Generalizing Keisler's notion of regularity for ultrafilters, Taylor introduced degrees of regularity for ideals and showed that a countably complete nonregular ideal on must…
Local saturation and square everywhere
Monroe Eskew
We show that it is consistent relative to a huge cardinal that for all infinite cardinals , holds and there is a stationary such that $\mathrm{NS}_…
Dense ideals and cardinal arithmetic
Monroe Eskew
From large cardinals we show the consistency of normal, fine, -complete -dense ideals on for successor . We explore the interplay between dense ideals,…