19 citations · 57 across the 23 of their papers we have counts for
Showing 2008 · math.LOShow all
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math.LO2008★ 1 cited
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…
math.LO2008
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/…
math.LO2008★ 1 cited
Ramsey-like cardinals
Victoria Gitman
One of the numerous characterizations of a Ramsey cardinal kappa involves the existence of certain types of elementary embeddings for transitive sets of size κsatisfying a large fr…