Brent Cody

activity

20112024

most citedSome results on large cardinals and the continuum function

6 citations · 18 across the 20 of their papers we have counts for

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math.LO2019★ 6 cited

A refinement of the Ramsey hierarchy via indescribability

Brent Cody

A subset $S$ of a cardinal $κ$ is Ramsey if for every function $f : [S]^{< ω} \to κ$ with $f (a) < min a$ for all $a \in [S]^{< ω}$ , there is a set $H \subseteq S$ of cardinality $κ$ which i…

math.LO2019

Forcing a $□ (κ)$ -like principle to hold at a weakly compact cardinal

Brent Cody, Victoria Gitman, Chris Lambie-Hanson

Hellsten \cite{MR2026390} proved that when $κ$ is $Π_{n}^{1}$ -indescribable, the \emph{ $n$ -club} subsets of $κ$ provide a filter base for the $Π_{n}^{1}$ -indescribability ideal, and hence…

A refinement of the Ramsey hierarchy via indescribability

Forcing a □(κ)-like principle to hold at a weakly compact cardinal

Forcing a $□ (κ)$ -like principle to hold at a weakly compact cardinal