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 2015 · math.LOShow all

3 papers · 2 filters

math.LO2015

Indestructible Guessing Models and the Continuum

Sean Cox, John Krueger

We introduce a stronger version of an $ω_{1}$ -guessing model, which we call an indestructibly $ω_{1}$ -guessing model. The principle IGMP states that there are stationarily many indestr…

math.LO2015

Characterizing large cardinals in terms of layered posets

Sean Cox, Philipp Lücke

Given an uncountable regular cardinal $κ$ , a partial order is $κ$ -stationarily layered if the collection of regular suborders of $P$ of cardinality less than $κ$ is statio…

math.LO2015★ 6 cited

Layered posets and Kunen's universal collapse

Sean D. Cox

We develop the theory of layered posets, and use the notion of layering to prove a new iteration theorem (Theorem 6): if $κ$ is weakly compact then any universal Kunen iteration of…