V. Lyubetsky

activity

20072026

most citedDefinable minimal collapse functions at arbitrary projective levels

20 citations · 140 across the 30 of their papers we have counts for

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Showing 2016 · math.LOShow all

3 papers · 2 filters

math.LO2016★ 3 cited

A generic property of Solovay's set $Σ$

Vladimir Kanovei, Vassily Lyubetsky

We prove that Solovay's set $Σ$ is generic over the ground model via a forcing notion whose order relation $\subseteq$ -extends the given order relation.

math.LO2016★ 10 cited

Countable OD sets of reals belong to the ground model

Vladimir Kanovei, Vassily Lyubetsky

It is true in the Cohen, Solovay-random, dominaning, and Sacks generic extension that every countable ordinal-definable set of reals belongs to to the ground universe

math.LO2016

A Groszek-Laver pair of undistinguishable $E_{0}$ classes

Mohammad Golshani, Vladimir Kanovei, Vassily A Lyubetsky

A generic extension $L [x, y]$ of $L$ by reals $x, y$ is defined, in which the union of $E_{0}$ -classes of $x$ and $y$ is a $Π_{2}^{1}$ set, but neither of these two $E_{0}$ -c…

A generic property of Solovay's set Σ

Countable OD sets of reals belong to the ground model

A Groszek-Laver pair of undistinguishable E0​ classes

A generic property of Solovay's set $Σ$

A Groszek-Laver pair of undistinguishable $E_{0}$ classes