6 citations · 18 across the 20 of their papers we have counts for
21 papers
Two-cardinal derived topologies, indescribability and Ramseyness
Brent Cody, Chris Lambie-Hanson, Jing Zhang
We introduce a natural two-cardinal version of Bagaria's sequence of derived topologies on ordinals. We prove that for our sequence of two-cardinal derived topologies, limit points…
Sparse analytic systems
Brent Cody, Sean Cox, Kayla Lee
Erdős \cite{MR168482} proved that the Continuum Hypothesis (CH) is equivalent to the existence of an uncountable family of (real or complex) analytic functions, such…
Two-cardinal ideal operators and indescribability
Brent Cody, Philip White
A well-known version of Rowbottom's theorem for supercompactness ultrafilters leads naturally to notions of two-cardinal Ramseyness and corresponding normal ideals introduced herei…
Ideal operators and higher indescribability
Brent Cody, Peter Holy
We investigate properties of the ineffability and the Ramsey operator, and a common generalization of those that was introduced by the second author, with respect to higher indescr…
Large cardinal ideals
Brent Cody
Building on work of Holy, Lücke and Njegomir \cite{MR3913154} on small embedding characterizations of large cardinals, we use some classical results of Baumgartner (see \cite{MR038…
Higher indescribability and derived topologies
Brent Cody
We introduce reflection properties of cardinals in which the attributes that reflect are expressible by infinitary formulas whose lengths can be strictly larger than the cardinal u…