1 citations · 2 across the 5 of their papers we have counts for
5 papers · 1 filter
Easton's Theorem for Ramsey and Strongly Ramsey cardinals
Brent Cody, Victoria Gitman
We show that, assuming GCH, if is a Ramsey or a strongly Ramsey cardinal and is a class function on the regular cardinals having a closure point at and obeying the cons…
A natural model of the multiverse axioms
Victoria Gitman, Joel David Hamkins
If ZFC is consistent, then the collection of countable computably saturated models of ZFC satisfies all of the Multiverse Axioms introduced by Hamkins.
Ramsey-like cardinals II
Victoria Gitman, Philip Welch
This paper continues the study of the Ramsey-like large cardinals. Ramsey-like cardinals are defined by generalizing the characterization of Ramsey cardinals via the existence of e…
Proper and piecewise proper families of reals
Victoria Gitman
I introduced the notions of proper and piecewise proper families of reals to make progress on an open question in the field of models of PA about whether every Scott set is the sta…
Scott's problem for proper Scott sets
Victoria Gitman
I show that assuming PFA, every proper Scott set is the standard system of a model of PA. A Scott set X is proper if it is arithmetically closed and the quotient Boolean algebra X/…