# zbMATH — the first resource for mathematics

## Lyubetsky, Vassily A.

Compute Distance To:
 Author ID: lyubetsky.vassily-a Published as: Lyubetskij, V. A.; Lyubetsky, V. A.; Lyubetsky, Vassily; Lyubetsky, Vassily A.
 Documents Indexed: 55 Publications since 1968
all top 5

#### Co-Authors

 0 single-authored 16 Kanovei, Vladimir G. 1 Asarin, Eugene 1 Cachat, Thierry 1 Golshani, Mohammad 1 Herzberg, Frederik S. 1 Katz, Mikhail G. 1 Seliverstov, Alexandr Vladislavovich 1 Touili, Tayssir
all top 5

#### Serials

 2 Applied Mathematics and Computation 2 Fundamenta Mathematicae 2 The Journal of Symbolic Logic 2 Annals of Pure and Applied Logic 2 Archive for Mathematical Logic 2 Mathematical Logic Quarterly (MLQ) 1 Notre Dame Journal of Formal Logic 1 Proceedings of the American Mathematical Society 1 Topology and its Applications 1 Izvestiya: Mathematics

#### Fields

 15 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Computer science (68-XX) 1 Sequences, series, summability (40-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

19 Publications have been cited 52 times in 27 Documents Cited by Year
A countable definable set containing no definable elements. Zbl 1420.03130
Kanovei, V. G.; Lyubetsky, V. A.
2017
A definable $$E_0$$ class containing no definable elements. Zbl 1343.03040
Kanovei, Vladimir; Lyubetsky, Vassily
2015
On some classical problems in descriptive set theory. Zbl 1064.03031
Kanovej, V. G.; Lyubetskij, V. A.
2003
Counterexamples to countable-section $$\varPi_2^1$$ uniformization and $$\varPi_3^1$$ separation. Zbl 1403.03086
Kanovei, Vladimir; Lyubetsky, Vassily
2016
Minimal axiomatic frameworks for definable hyperreals with transfer. Zbl 1447.03014
Herzberg, Frederik S.; Kanovei, Vladimir; Katz, Mikhail; Lyubetsky, Vassily
2018
Countable OD sets of reals belong to the ground model. Zbl 06860714
Kanovei, Vladimir; Lyubetsky, Vassily
2018
A generic property of the Solovay set $$\Sigma$$. Zbl 1420.03133
Kanovei, V. G.; Lyubetsky, V. A.
2017
Generalization of one construction by Solovay. Zbl 1347.03090
Kanovei, V. G.; Lyubetsky, V. A.
2015
On effective $$\sigma$$-boundedness and $$\sigma$$-compactness. Zbl 1283.03080
Kanovei, Vladimir; Lyubetsky, Vassily
2013
An infinity which depends on the axiom of choice. Zbl 1254.03086
Kanovei, Vladimir; Lyubetsky, Vassily
2012
A cofinal family of equivalence relations and Borel ideals generating them. Zbl 1351.37015
Kanovei, V. G.; Lyubetsky, V. A.
2006
Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy. Zbl 07053973
Kanovei, Vladimir; Lyubetsky, Vassily
2019
Borel OD sets of reals are OD-Borel in some simple models. Zbl 06998158
Kanovei, Vladimir; Lyubetsky, Vassily
2019
Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes. Zbl 1446.03081
Kanovei, Vladimir G.; Lyubetsky, Vassily A.
2018
Definable $$\mathsf{E}_0$$ classes at arbitrary projective levels. Zbl 1426.03028
Kanovei, Vladimir; Lyubetsky, Vassily
2018
On countable cofinality and decomposition of definable thin orderings. Zbl 1432.03089
Kanovei, Vladimir; Lyubetsky, Vassily
2016
Effective compactness and sigma-compactness. Zbl 1286.03144
Kanovei, V. G.; Lyubetsky, V. A.
2012
Transfer theorems and the algebra of modal operators. Zbl 0880.03025
Lyubetskij, V. A.
1997
The independence of some propositions of the descriptive set theory of the Zermelo-Fraenkel set theory. Zbl 0218.02060
Lyubetskij, V. A.
1971
Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy. Zbl 07053973
Kanovei, Vladimir; Lyubetsky, Vassily
2019
Borel OD sets of reals are OD-Borel in some simple models. Zbl 06998158
Kanovei, Vladimir; Lyubetsky, Vassily
2019
Minimal axiomatic frameworks for definable hyperreals with transfer. Zbl 1447.03014
Herzberg, Frederik S.; Kanovei, Vladimir; Katz, Mikhail; Lyubetsky, Vassily
2018
Countable OD sets of reals belong to the ground model. Zbl 06860714
Kanovei, Vladimir; Lyubetsky, Vassily
2018
Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes. Zbl 1446.03081
Kanovei, Vladimir G.; Lyubetsky, Vassily A.
2018
Definable $$\mathsf{E}_0$$ classes at arbitrary projective levels. Zbl 1426.03028
Kanovei, Vladimir; Lyubetsky, Vassily
2018
A countable definable set containing no definable elements. Zbl 1420.03130
Kanovei, V. G.; Lyubetsky, V. A.
2017
A generic property of the Solovay set $$\Sigma$$. Zbl 1420.03133
Kanovei, V. G.; Lyubetsky, V. A.
2017
Counterexamples to countable-section $$\varPi_2^1$$ uniformization and $$\varPi_3^1$$ separation. Zbl 1403.03086
Kanovei, Vladimir; Lyubetsky, Vassily
2016
On countable cofinality and decomposition of definable thin orderings. Zbl 1432.03089
Kanovei, Vladimir; Lyubetsky, Vassily
2016
A definable $$E_0$$ class containing no definable elements. Zbl 1343.03040
Kanovei, Vladimir; Lyubetsky, Vassily
2015
Generalization of one construction by Solovay. Zbl 1347.03090
Kanovei, V. G.; Lyubetsky, V. A.
2015
On effective $$\sigma$$-boundedness and $$\sigma$$-compactness. Zbl 1283.03080
Kanovei, Vladimir; Lyubetsky, Vassily
2013
An infinity which depends on the axiom of choice. Zbl 1254.03086
Kanovei, Vladimir; Lyubetsky, Vassily
2012
Effective compactness and sigma-compactness. Zbl 1286.03144
Kanovei, V. G.; Lyubetsky, V. A.
2012
A cofinal family of equivalence relations and Borel ideals generating them. Zbl 1351.37015
Kanovei, V. G.; Lyubetsky, V. A.
2006
On some classical problems in descriptive set theory. Zbl 1064.03031
Kanovej, V. G.; Lyubetskij, V. A.
2003
Transfer theorems and the algebra of modal operators. Zbl 0880.03025
Lyubetskij, V. A.
1997
The independence of some propositions of the descriptive set theory of the Zermelo-Fraenkel set theory. Zbl 0218.02060
Lyubetskij, V. A.
1971
all top 5

#### Cited by 17 Authors

 22 Kanovei, Vladimir G. 13 Lyubetsky, Vassily A. 7 Lyubetskij, V. A. 2 Katz, Mikhail G. 1 Bair, Jacques 1 Błaszczyk, Piotr 1 Chan, William M. 1 Dean, Walter 1 Friedman, Sy-David 1 Gitman, Victoria 1 Golshani, Mohammad 1 Nowik, Tahl 1 Nutz, Marcel 1 Sherry, David M. 1 van Handel, Ramon 1 Vladimirov, Andrei G. 1 Walsh, Sean
all top 5

#### Cited in 14 Serials

 6 Mathematical Notes 4 Siberian Mathematical Journal 2 Fundamenta Mathematicae 2 Annals of Pure and Applied Logic 2 Archive for Mathematical Logic 2 Mathematical Logic Quarterly (MLQ) 2 Journal of Mathematical Logic 1 The Journal of Symbolic Logic 1 Proceedings of the American Mathematical Society 1 Stochastic Processes and their Applications 1 Izvestiya: Mathematics 1 Foundations of Science 1 The Review of Symbolic Logic 1 Open Mathematics
all top 5

#### Cited in 8 Fields

 24 Mathematical logic and foundations (03-XX) 3 Measure and integration (28-XX) 2 History and biography (01-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX)