Russian University of Transport · wovepaper

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19952022

most citedBe careful with the Exp-function method

148 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2014Show all

7 papers · 1 filter

math.LO2014★ 2 cited

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…

math.LO2014★ 16 cited

Counterexamples to countable-section $Π_{2}^{1}$ uniformization and $Π_{3}^{1}$ separation

Vladimir Kanovei, Vassily Lyubetsky

We make use of a finite support product of the Jensen minimal $Π_{2}^{1}$ singleton forcing to define a model in which $Π_{2}^{1}$ Uniformization fails for a set with countable c…

math.LO2014★ 16 cited

A definable $E_{0}$ -class containing no definable elements

Vladimir Kanovei, Vassily Lyubetsky

A generic extension $L [x]$ of $L$ by a real $x$ is defined, in which the $E_{0}$ -class of $x$ is a lightface $Π_{2}^{1}$ set containing no ordinal-definable reals.

math.LO2014★ 2 cited

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…

math.LO2014★ 15 cited

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 $Π_{2}^{1}$ set of reals containing no ordinal-definable r…

math.LO2014★ 2 cited

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 the behavior of the leading eigenvalue of Eigen's evolutionary matrices

Yuri S. Semenov, Alexander S. Bratus, Artem S. Novozhilov

We study general properties of the leading eigenvalue $w (q)$ of Eigen's evolutionary matrices depending on the probability $q$ of faithful reproduction. This is a linear…