6 citations · 16 across the 19 of their papers we have counts for
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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…
Namba forcing, weak approximation, and guessing
Sean Cox, John Krueger
We prove a variation of Easton's lemma for strongly proper forcings, and use it to prove that, unlike the stronger principle , together with $2^ω\le ω…
Lower consistency bounds for mutual stationarity with divergent uncountable cofinalities
Dominik Adolf, Sean Cox, Philip Welch
We prove that the upper bounds for the consistency strength of certain instances of mutual stationarity considered by Liu-Shelah~\cite{MR1469093} are close to optimal. We also cons…
Chang's Conjecture and semiproperness of nonreasonable posets
Sean D. Cox
Let denote the poset which adds a Cohen real then shoots a club through the complement of with countable conditions. We prove that the version o…