4 citations · 9 across the 14 of their papers we have counts for
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The consistency strength of the perfect set property for universally Baire sets of reals
Ralf Schindler, Trevor M. Wilson
We show that the statement "every universally Baire set of reals has the perfect set property" is equiconsistent modulo ZFC with the existence of a cardinal that we call a virtuall…
Generic Vopěnka cardinals and models of ZF with few -Suslin sets
Trevor M. Wilson
We define a generic Vopěnka cardinal to be an inaccessible cardinal such that for every first-order language of cardinality less than and every set $\mathscr{…
Weakly remarkable cardinals, Erdős cardinals, and the generic Vopěnka principle
Trevor M. Wilson
We consider a weak version of Schindler's remarkable cardinals that may fail to be -reflecting. We show that the -reflecting weakly remarkable cardinals are exactly the r…
On forcing projective generic absoluteness from strong cardinals
Trevor M. Wilson
W.H. Woodin showed that if are strong cardinals then two-step generic absoluteness holds after collapsing to be countable. We sh…