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

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Showing 2014 · math.LOShow all

3 papers · 2 filters

math.LO2014

Quotients of Strongly Proper Forcings and Guessing Models

Sean Cox, John Krueger

We prove that a wide class of strongly proper forcing posets have quotients with strong properties. Specifically, we prove that quotients of forcing posets which have simple univer…

math.LO2014

Prevalence of Generic Laver Diamond

Sean D. Cox

Viale \cite{Viale_GuessingModel} introduced the notion of Generic Laver Diamond at $κ$ ---which we denote $◊_{Lav} (κ)$ ---asserting the existence of a single function f…

math.LO2014

Indestructibility of generically strong cardinals

Brent Cody, Sean Cox

Foreman proved the Duality Theorem, which gives an algebraic characterization of certain ideal quotients in generic extensions. As an application he proved that generic supercompac…