20 citations · 140 across the 30 of their papers we have counts for
5 papers · 1 filter
On countable cofinality and decomposition of definable thin orderings
Vladimir Kanovei, Vassily Lyubetsky
We prove that in some cases definable thin sets (including chains) of Borel partial orderings are necessarily countably cofinal. This includes the following cases: analytic thin se…
A definable -class containing no definable elements
Vladimir Kanovei, Vassily Lyubetsky
A generic extension of by a real is defined, in which the -class of is a lightface set containing no ordinal-definable reals.
Linearization of partial quasi-orderings in the Solovay model revisited
Vladimir Kanovei, Vassily Lyubetsky
We modify arguments in Vladimir Kanovei, Linearization of definable order relations, APAL, 102(1-2):69--100, 2000, to reprove a linearization theorem on real-ordinal definable part…
A countable definable set of reals containing no definable elements
Vladimir Kanovei, Vassily Lyubetsky
We make use of a finite support product of Jensen forcing to define a model in which there is a countable non-empty lightface set of reals containing no ordinal-definable r…
A generalization of Solovay's -construction with application to intermediate models
Vladimir Kanovei
A -construction of Solovay is extended to the case of intermediate sets which are not necessarily subsets of the ground model, with a more transparent description of the resulti…