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

collaborators

Showing 2018Show all

3 papers · 1 filter

math.LO2018

A variant of Shelah's characterization of Strong Chang's Conjecture

Sean Cox, Hiroshi Sakai

Shelah considered a certain version of Strong Chang's Conjecture, which we denote $SCC^{cof}$ , and proved that it is equivalent to several statements, including the a…

math.LO2018

Club Chang's Conjecture

Sean Cox, Saharon Shelah

Chang's Conjecture (CC) asserts that for every $F : [ω_{2}]^{< ω} \to ω_{2}$ , there exists an $X$ that is closed under $F$ such that $∣ X ∣ = ω_{1}$ and $∣ X \cap ω_{1} ∣ = ω$ . By classic results of…

math.LO2018★ 5 cited

Forcing axioms, approachability, and stationary set reflection

Sean D. Cox

We prove a variety of theorems about stationary set reflection and concepts related to internal approachability. We prove that an implication of Fuchino-Usuba relating stationary r…