20 citations · 140 across the 30 of their papers we have counts for
4 papers · 2 filters
On intermediate extensions of generic extensions by a random real
Vladimir Kanovei, Vassily Lyubetsky
The paper is the second of our series of notes aimed to bring back in circulation some bright ideas of early modern set theory, mainly due to Harrington and Sami, which have never…
On Harrington's model in which Separation holds but Reduction fails at the 3rd projective level, and on some related models of Sami
Vladimir Kanovei, Vassily Lyubetsky
In a handwtitten note of 1975, Leo Harrington sketched a construction of a model of ZFC (no large cardinals or anything beyond ZFC!) in which -Separation holds but $\…
Canonization of smooth equivalence relations on infinite-dimensional perfect cubes
Vladimir Kanovei, Vassily Lyubetsky
A canonization scheme for smooth equivalence relations on modulo restriction to infinite perfect products is proposed. It shows that given a pair of Borel smooth equi…
Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy
Vladimir Kanovei, Vassily Lyubetsky
We present a model of set theory, in which, for a given , there exists a non-ROD-uniformizable planar lightface set in , whose all ver…