Kanovei, Vladimir; Lyubetsky, Vassily On Russell typicality in set theory. (English) Zbl 1516.03017 Proc. Am. Math. Soc. 151, No. 5, 2201-2210 (2023). Reviewer: Pedro Sánchez Terraf (Córdoba) MSC: 03E35 03E47 03E15 03E45 PDFBibTeX XMLCite \textit{V. Kanovei} and \textit{V. Lyubetsky}, Proc. Am. Math. Soc. 151, No. 5, 2201--2210 (2023; Zbl 1516.03017) Full Text: DOI arXiv
Kanovei, Vladimir G.; Lyubetsky, Vassily A. Models of set theory in which the separation theorem fails. (English. Russian original) Zbl 07480690 Izv. Math. 85, No. 6, 1181-1219 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 6, 164-204 (2021). MSC: 03E15 03E35 PDFBibTeX XMLCite \textit{V. G. Kanovei} and \textit{V. A. Lyubetsky}, Izv. Math. 85, No. 6, 1181--1219 (2021; Zbl 07480690); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 6, 164--204 (2021) Full Text: DOI arXiv
Kanovei, Vladimir; Lyubetsky, Vassily The full basis theorem does not imply analytic wellordering. (English) Zbl 1528.03199 Ann. Pure Appl. Logic 172, No. 4, Article ID 102929, 46 p. (2021). MSC: 03E15 03E25 03E35 03E40 PDFBibTeX XMLCite \textit{V. Kanovei} and \textit{V. Lyubetsky}, Ann. Pure Appl. Logic 172, No. 4, Article ID 102929, 46 p. (2021; Zbl 1528.03199) Full Text: DOI arXiv
Kanovei, Vladimir; Lyubetsky, Vassily Factoring Solovay-random extensions, with application to the reduction property. (English) Zbl 1498.03118 Monatsh. Math. 194, No. 1, 105-117 (2021). MSC: 03E35 03E15 03E40 PDFBibTeX XMLCite \textit{V. Kanovei} and \textit{V. Lyubetsky}, Monatsh. Math. 194, No. 1, 105--117 (2021; Zbl 1498.03118) Full Text: DOI
Kanovei, V. G.; Lyubetsky, V. A. Absoluteness of the Solovay set \(\Sigma \). (English. Russian original) Zbl 1468.03064 Sib. Math. J. 60, No. 6, 1003-1006 (2019); translation from Sib. Mat. Zh. 60, No. 6, 1286-1290 (2019). MSC: 03E40 03E45 03E35 PDFBibTeX XMLCite \textit{V. G. Kanovei} and \textit{V. A. Lyubetsky}, Sib. Math. J. 60, No. 6, 1003--1006 (2019; Zbl 1468.03064); translation from Sib. Mat. Zh. 60, No. 6, 1286--1290 (2019) Full Text: DOI
Kanovei, V. G.; Lyubetsky, V. A. Definable elements of definable Borel sets. (English. Russian original) Zbl 07128207 Math. Notes 105, No. 5, 684-693 (2019); translation from Mat. Zametki 105, No. 5, 696-707 (2019). MSC: 03E35 03E15 03E45 PDFBibTeX XMLCite \textit{V. G. Kanovei} and \textit{V. A. Lyubetsky}, Math. Notes 105, No. 5, 684--693 (2019; Zbl 07128207); translation from Mat. Zametki 105, No. 5, 696--707 (2019) Full Text: DOI
Kanovei, Vladimir; Lyubetsky, Vassily Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy. (English) Zbl 1472.03059 Fundam. Math. 245, No. 2, 175-215 (2019). MSC: 03E35 03E15 PDFBibTeX XMLCite \textit{V. Kanovei} and \textit{V. Lyubetsky}, Fundam. Math. 245, No. 2, 175--215 (2019; Zbl 1472.03059) Full Text: DOI arXiv
Kanovei, Vladimir; Lyubetsky, Vassily Definable minimal collapse functions at arbitrary projective levels. (English) Zbl 1453.03053 J. Symb. Log. 84, No. 1, 266-289 (2019). Reviewer: Martin Weese (Potsdam) MSC: 03E35 03E45 03E15 PDFBibTeX XMLCite \textit{V. Kanovei} and \textit{V. Lyubetsky}, J. Symb. Log. 84, No. 1, 266--289 (2019; Zbl 1453.03053) Full Text: DOI arXiv
Kanovei, Vladimir G.; Lyubetsky, Vassily A. Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes. (English. Russian original) Zbl 1446.03081 Izv. Math. 82, No. 1, 61-90 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 1, 65-96 (2018). MSC: 03E15 03E35 03E40 PDFBibTeX XMLCite \textit{V. G. Kanovei} and \textit{V. A. Lyubetsky}, Izv. Math. 82, No. 1, 61--90 (2018; Zbl 1446.03081); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 1, 65--96 (2018) Full Text: DOI
Kanovei, V. G.; Lyubetsky, V. A. A generic property of the Solovay set \(\Sigma\). (English. Russian original) Zbl 1420.03133 Sib. Math. J. 58, No. 6, 1012-1014 (2017); translation from Sib. Mat. Zh. 58, No. 6, 1302-1305 (2017). MSC: 03E40 03E35 PDFBibTeX XMLCite \textit{V. G. Kanovei} and \textit{V. A. Lyubetsky}, Sib. Math. J. 58, No. 6, 1012--1014 (2017; Zbl 1420.03133); translation from Sib. Mat. Zh. 58, No. 6, 1302--1305 (2017) Full Text: DOI arXiv
Kanovei, V. G.; Lyubetsky, V. A. A countable definable set containing no definable elements. (English. Russian original) Zbl 1420.03130 Math. Notes 102, No. 3, 338-349 (2017); translation from Mat. Zametki 102, No. 3, 369-382 (2017). MSC: 03E35 03E15 03E47 PDFBibTeX XMLCite \textit{V. G. Kanovei} and \textit{V. A. Lyubetsky}, Math. Notes 102, No. 3, 338--349 (2017; Zbl 1420.03130); translation from Mat. Zametki 102, No. 3, 369--382 (2017) Full Text: DOI arXiv
Kanovei, Vladimir; Lyubetsky, Vassily Counterexamples to countable-section \(\varPi_2^1\) uniformization and \(\varPi_3^1\) separation. (English) Zbl 1403.03086 Ann. Pure Appl. Logic 167, No. 3, 262-283 (2016). MSC: 03E15 03E35 03E20 28A05 PDFBibTeX XMLCite \textit{V. Kanovei} and \textit{V. Lyubetsky}, Ann. Pure Appl. Logic 167, No. 3, 262--283 (2016; Zbl 1403.03086) Full Text: DOI arXiv Backlinks: MO
Kanovei, V. G.; Lyubetsky, V. A. Generalization of one construction by Solovay. (English. Russian original) Zbl 1347.03090 Sib. Math. J. 56, No. 6, 1072-1079 (2015); translation from Sib. Mat. Zh. 56, No. 6, 1341-1350 (2015). MSC: 03E40 03E35 03E15 PDFBibTeX XMLCite \textit{V. G. Kanovei} and \textit{V. A. Lyubetsky}, Sib. Math. J. 56, No. 6, 1072--1079 (2015; Zbl 1347.03090); translation from Sib. Mat. Zh. 56, No. 6, 1341--1350 (2015) Full Text: DOI
Kanovei, Vladimir; Lyubetsky, Vassily On countable cofinality and decomposition of definable thin orderings. arXiv:1412.0195 Preprint, arXiv:1412.0195 [math.LO] (2014). MSC: 03E15 03E04 03E40 BibTeX Cite \textit{V. Kanovei} and \textit{V. Lyubetsky}, ``On countable cofinality and decomposition of definable thin orderings'', Preprint, arXiv:1412.0195 [math.LO] (2014) Full Text: DOI arXiv OA License
Kanovei, V. G.; Lyubetsky, V. A. An effective minimal encoding of uncountable sets. (English) Zbl 1252.03113 Sib. Math. J. 52, No. 5, 854-863 (2011); translation from Sib. Mat. Zh. 52, No. 5, 1074-1086 (2011). MSC: 03E45 03E10 03E15 03E35 PDFBibTeX XMLCite \textit{V. G. Kanovei} and \textit{V. A. Lyubetsky}, Sib. Math. J. 52, No. 5, 854--863 (2011; Zbl 1252.03113); translation from Sib. Mat. Zh. 52, No. 5, 1074--1086 (2011) Full Text: DOI
Kanoveĭ, V. G.; Lyubetskiĭ, V. A. Problems of set-theoretic non-standard analysis. (English. Russian original) Zbl 1226.03067 Russ. Math. Surv. 62, No. 1, 45-111 (2007); translation from Usp. Mat. Nauk 62, No. 1, 51-122 (2007). MSC: 03H05 03E40 03E70 46S20 54J05 PDFBibTeX XMLCite \textit{V. G. Kanoveĭ} and \textit{V. A. Lyubetskiĭ}, Russ. Math. Surv. 62, No. 1, 45--111 (2007; Zbl 1226.03067); translation from Usp. Mat. Nauk 62, No. 1, 51--122 (2007) Full Text: DOI
Kanovei, V. G.; Lyubetskij, V. A. Perfect subsets of invariant CA-sets. (English. Russian original) Zbl 1112.03042 Math. Notes 77, No. 3, 307-310 (2005); translation from Mat. Zametki 77, No. 3, 334-338 (2005). MSC: 03E15 PDFBibTeX XMLCite \textit{V. G. Kanovei} and \textit{V. A. Lyubetskij}, Math. Notes 77, No. 3, 307--310 (2005; Zbl 1112.03042); translation from Mat. Zametki 77, No. 3, 334--338 (2005) Full Text: DOI
Kanovej, V. G.; Lyubetskij, V. A. On the set of constructible reals. (English. Russian original) Zbl 1106.03318 Geometric topology and set theory. Collected papers. Dedicated to the 100th birthday of Professor Lyudmila Vsevolodovna Keldysh. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 247, 83-114 (2004); translation from Tr. Mat. Inst. Steklova 247, 95-128 (2004). MSC: 03E45 03E15 03E40 PDFBibTeX XMLCite \textit{V. G. Kanovej} and \textit{V. A. Lyubetskij}, in: Geometric topology and set theory. Collected papers. Dedicated to the 100th birthday of Professor Lyudmila Vsevolodovna Keldysh. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. 83--114 (2004; Zbl 1106.03318); translation from Tr. Mat. Inst. Steklova 247, 95--128 (2004)
Lyubetskij, V. A. Transfer theorems and the algebra of modal operators. (English. Russian original) Zbl 0880.03025 Algebra Logika 36, No. 3, 282-303 (1997); translation in Algebra Logic 36, No. 3, 169-181 (1997). Reviewer: A.N.Ryaskin (Novosibirsk) MSC: 03E30 03E40 13L05 PDFBibTeX XMLCite \textit{V. A. Lyubetskij}, Algebra Logika 36, No. 3, 282--303 (1997; Zbl 0880.03025); translation in Algebra Logic 36, No. 3, 169--181 (1997)
Lyubetskij, V. A. Intuitionistic theory of algebraic systems and the Heyting-valued analysis. (English. Russian original) Zbl 0793.03068 Algebra Logic 30, No. 3, 208-216 (1991); translation from Algebra Logika 30, No. 3, 320-332 (1991). MSC: 03F55 03E40 PDFBibTeX XMLCite \textit{V. A. Lyubetskij}, Algebra Logic 30, No. 3, 208--216 (1991; Zbl 0793.03068); translation from Algebra Logika 30, No. 3, 320--332 (1991) Full Text: DOI EuDML
Lyubetskij, V. A.; Gordon, E. I. Embedding of sheaves in a Heyting-valued universe. (English. Russian original) Zbl 0546.03032 Sov. Math., Dokl. 27, 159-164 (1983); translation from Dokl. Akad. Nauk SSSR 268, 794-798 (1983). Reviewer: P.L.Ferrari MSC: 03E40 03G30 03H05 03C90 PDFBibTeX XMLCite \textit{V. A. Lyubetskij} and \textit{E. I. Gordon}, Sov. Math., Dokl. 27, 159--164 (1983; Zbl 0546.03032); translation from Dokl. Akad. Nauk SSSR 268, 794--798 (1983)