Vladimir Grigor'evich Kanovei

A countable definable set containing no definable elements

The consistency of the existence of a countable definable set of reals, containing no definable elements, is established. The model, where such a set exists, is obtained by means of a countable product of Jensen’s forcing with finite support.

A Groszek-Laver pair of undistinguishable E0-classes

A generic extension

On effective σ-boundedness and σ-compactness

L[x,y]

Об эффективной компактности и сигма-компактности@@@Effective Compactness and Sigma-Compactness

of

Определимое счетное множество, не содержащее определимых элементов@@@A Countable Definable Set Containing no Definable Elements

L

Definable E0 classes at arbitrary projective levels

by reals

Reasonable non-Radon-Nikodym ideals

x,y

Об упорядоченных структурах Хаусдорфа@@@On Hausdorff ordered structures

is defined, in which the union of

Проблемы теоретико-множественного нестандартного анализа@@@Problems in set-theoretic nonstandard analysis

mathsf E_0

Reducibility of monadic equivalence relations

-classes of