John Susice

collaborators

2 papers

math.LO2019

The Special Aronszajn Tree Property at $κ^{+}$ and $□_{κ, 2}$

John Susice

We show that for any regular cardinal $κ$ , $□_{κ, 2}$ is consistent with "all $κ^{+}$ -Aronszajn trees are special." By a result of Shelah and Stanley this is optimal in the sen…

math.LO2018

Chang's Conjecture with $□_{ω_{1}, 2}$ from an $ω_{1}$ -Erdős Cardinal

Itay Neeman, John Susice

Answering a question of Sakai, we show that the existence of an $ω_{1}$ -Erdős cardinal suffices to obtain the consistency of Chang's Conjecture with $□_{ω_{1}, 2}$ . By a result o…

The Special Aronszajn Tree Property at κ+ and □κ,2​

Chang's Conjecture with □ω1​,2​ from an ω1​-Erdős Cardinal

The Special Aronszajn Tree Property at $κ^{+}$ and $□_{κ, 2}$

Chang's Conjecture with $□_{ω_{1}, 2}$ from an $ω_{1}$ -Erdős Cardinal