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math.LO2021
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…
math.LO2021
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…
math.LO2021
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…