16 citations · 40 across the 5 of their papers we have counts for
5 papers
In Cohen generic extension, every countable OD set of reals belongs to the ground model
Vladimir Kanovei
It is true in the Cohen generic extension of L, the constructible universe, that every countable ordinal-definable set of reals belongs to L.
OD elements of countable OD sets in the Solovay model
Vladimir Kanovei
It is true in the Solovay model that every countable ordinal-definable set of sets of reals contains only ordinal-definable elements.
Counterexamples to countable-section uniformization and separation
Vladimir Kanovei, Vassily Lyubetsky
We make use of a finite support product of the Jensen minimal singleton forcing to define a model in which Uniformization fails for a set with countable c…
Bounding and decomposing thin analytic partial orderings
Vladimir Kanovei
We modify arguments by Harrington, Marker, and Shelah, 1990, to reprove extensions of two key results in their paper "Borel orderings"in the context of bounding and decomposition o…
On countable cofinality of definable chains in Borel partial orders
Vladimir Kanovei
We prove that in some cases definable chains of Borel partial orderings are necessarily countably cofinal. This includes the following cases: analytic chains, ROD chains in the Sol…