V. G. Kanovei, V. A. Lyubetskii, “Independence of the comprehension schema in second-order arithmetic from the parameter-free countable choice”, Mat. Zametki, 117:2 (2025), 257–269; Math. Notes, 117:2 (2025), 275–286
2021
2.
V. G. Kanovei, V. A. Lyubetsky, “Models of set theory in which the separation theorem fails”, Izv. RAN. Ser. Mat., 85:6 (2021), 164–204; Izv. Math., 85:6 (2021), 1181–1219
V. G. Kanovei, V. A. Lyubetskii, “On the Equality Relation Modulo a Countable Set”, Mat. Zametki, 108:4 (2020), 629–631; Math. Notes, 108:4 (2020), 615–616
V. G. Kanovei, V. A. Lyubetskii, “Absoluteness of the solovay set Σ”, Sibirsk. Mat. Zh., 60:6 (2019), 1286–1290; Siberian Math. J., 60:6 (2019), 1003–1006
2018
6.
V. G. Kanovei, V. A. Lyubetsky, “Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes”, Izv. RAN. Ser. Mat., 82:1 (2018), 65–96; Izv. Math., 82:1 (2018), 61–90
V. G. Kanovei, V. A. Lyubetskii, “A Countable Definable Set Containing no Definable Elements”, Mat. Zametki, 102:3 (2017), 369–382; Math. Notes, 102:3 (2017), 338–349
V. G. Kanovei, V. A. Lyubetsky, “A generic property of the Solovay set $\Sigma$”, Sibirsk. Mat. Zh., 58:6 (2017), 1302–1305; Siberian Math. J., 58:6 (2017), 1012–1014
V. G. Kanovei, V. A. Lyubetskii, “On Effective $\sigma$-Boundedness and $\sigma$-Compactness in Solovay's Model”, Mat. Zametki, 98:2 (2015), 247–257; Math. Notes, 98:2 (2015), 273–282
V. G. Kanovei, V. A. Lyubetsky, “Generalization of one construction by Solovay”, Sibirsk. Mat. Zh., 56:6 (2015), 1341–1350; Siberian Math. J., 56:6 (2015), 1072–1079
V. G. Kanovei, V. A. Lyubetsky, “An effective minimal encoding of uncountable sets”, Sibirsk. Mat. Zh., 52:5 (2011), 1074–1086; Siberian Math. J., 52:5 (2011), 854–863
V. G. Kanovei, V. A. Lyubetskii, “Borel reducibility as an additive property of domains”, Zap. Nauchn. Sem. POMI, 358 (2008), 189–198; J. Math. Sci. (N. Y.), 158:5 (2009), 708–712
2007
16.
V. G. Kanovei, V. A. Lyubetskii, M. Reeken, “Reducibility of Monadic Equivalence Relations”, Mat. Zametki, 81:6 (2007), 842–854; Math. Notes, 81:6 (2007), 757–766
17.
V. G. Kanovei, V. A. Lyubetskii, “Problems in set-theoretic nonstandard analysis”, Uspekhi Mat. Nauk, 62:1(373) (2007), 51–122; Russian Math. Surveys, 62:1 (2007), 45–111
V. G. Kanovei, V. A. Lyubetskii, “A Cofinal Family of Equivalence Relations and Borel Ideals Generating Them”, Trudy Mat. Inst. Steklova, 252 (2006), 94–113; Proc. Steklov Inst. Math., 252 (2006), 85–103
19.
V. G. Kanovei, V. A. Uspenskii, “Uniqueness of nonstandard extensions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 5, 3–10
V. G. Kanovei, V. A. Lyubetskii, “Perfect subsets of invariant CA-sets”, Mat. Zametki, 77:3 (2005), 334–338; Math. Notes, 77:3 (2005), 307–310
21.
V. G. Kanovei, V. A. Uspenskii, “On the equivalence of two forms of the continuum hypothesis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 3, 62–64
2004
22.
V. G. Kanovei, V. A. Lyubetskii, “On the Set of Constructible Reals”, Trudy Mat. Inst. Steklova, 247 (2004), 95–128; Proc. Steklov Inst. Math., 247 (2004), 83–114
V. G. Kanovei, M. Reeken, “Some new results on Borel irreducibility of equivalence relations”, Izv. RAN. Ser. Mat., 67:1 (2003), 59–82; Izv. Math., 67:1 (2003), 55–76
V. G. Kanovei, V. A. Lyubetskii, “On some classical problems of descriptive set theory”, Uspekhi Mat. Nauk, 58:5(353) (2003), 3–88; Russian Math. Surveys, 58:5 (2003), 839–927
V. G. Kanovei, “Nonstandard Set Theory in $\in$-Language”, Mat. Zametki, 70:1 (2001), 46–50; Math. Notes, 70:1 (2001), 42–45
2000
26.
V. G. Kanovei, M. Reeken, “On Ulam's Problem of Stability of Non-exact Homomorphisms”, Trudy Mat. Inst. Steklova, 231 (2000), 249–283; Proc. Steklov Inst. Math., 231 (2000), 238–270
V. G. Kanovei, M. Reeken, “Extension of standard models of ZFC to models of Nelson's nonstandard set theory IST”, Mat. Zametki, 66:2 (1999), 202–210; Math. Notes, 66:2 (1999), 160–166
1998
28.
V. G. Kanovei, J. Zapletal, “Pyramidal structure of constructibility degrees”, Mat. Zametki, 63:4 (1998), 632–635; Math. Notes, 63:4 (1998), 556–559
V. G. Kanovei, “Topologies generated by effectively Suslin sets, and their applications in descriptive set theory”, Uspekhi Mat. Nauk, 51:3(309) (1996), 17–52; Russian Math. Surveys, 51:3 (1996), 385–417
V. G. Kanovei, “Undecidable hypotheses in Edward Nelson's internal set theory”, Uspekhi Mat. Nauk, 46:6(282) (1991), 3–50; Russian Math. Surveys, 46:6 (1991), 1–54
V. G. Kanovei, “Kolmogorov's ideas in the theory of operations on sets”, Uspekhi Mat. Nauk, 43:6(264) (1988), 93–128; Russian Math. Surveys, 43:6 (1988), 111–155
V. G. Kanovei, “The correctness of Euler's method for the factorization of the sine function into an infinite product”, Uspekhi Mat. Nauk, 43:4(262) (1988), 57–81; Russian Math. Surveys, 43:4 (1988), 65–94
V. N. Grishin, V. G. Kanovei, “Work on descriptive set theory carried out at the V. A. Steklov Institute of Mathematics”, Trudy Mat. Inst. Steklov., 182 (1988), 224–244; Proc. Steklov Inst. Math., 182 (1990), 245–265
36.
V. A. Uspenskii, V. G. Kanovei, “M. Ya. Suslin's contribution to set-theoretic mathematics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 5, 22–30
V. G. Kanovei, “N. N. Luzin's problems on the existence of $CA$-sets without perfect subsets”, Mat. Zametki, 41:5 (1987), 750–757; Math. Notes, 41:5 (1987), 422–426
V. G. Kanovei, “The axiom of determinacy and the modern development of descriptive set theory”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 23 (1985), 3–50; J. Soviet Math., 40:3 (1988), 257–287
V. G. Kanovei, “The development of the descriptive theory of sets under the influence of the work of Luzin”, Uspekhi Mat. Nauk, 40:3(243) (1985), 117–155; Russian Math. Surveys, 40:3 (1985), 135–180
V. G. Kanovei, “Undecidable and decidable properties of constituents”, Mat. Sb. (N.S.), 124(166):4(8) (1984), 505–535; Math. USSR-Sb., 52:2 (1985), 491–519
V. G. Kanovei, “An answer to Luzin's question about the separability of $CA$-curves”, Mat. Zametki, 33:3 (1983), 435–437; Math. Notes, 33:3 (1983), 223–224
43.
V. G. Kanovei, “Generalization of P. S. Novikov's theorem on cross sections of Borel sets”, Mat. Zametki, 33:2 (1983), 289–292; Math. Notes, 33:2 (1983), 144–146
44.
V. A. Uspenskii, V. G. Kanovei, “Luzin's problems on constituents and their fate”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 6, 73–87
V. G. Kanovei, “N. N. Luzin's problems on imbeddability and decomposability of projective sets”, Mat. Zametki, 32:1 (1982), 23–39; Math. Notes, 32:1 (1982), 490–499
V. G. Kanovei, “Theory of Zermelo without power set axiom and the theory of Zermelo–Frenkel without power set axiom are relatively consistent”, Mat. Zametki, 30:3 (1981), 407–419; Math. Notes, 30:3 (1981), 695–702
V. G. Kanovei, “On some problems of descriptive set theory and the connection between constructibility and definability”, Dokl. Akad. Nauk SSSR, 253:4 (1980), 800–803
1979
50.
V. G. Kanovei, “The set of all analytically definable sets of natural numbers can be defined analytically”, Izv. Akad. Nauk SSSR Ser. Mat., 43:6 (1979), 1259–1293; Math. USSR-Izv., 15:3 (1980), 469–500
V. G. Kanovei, “A consequence of the Martin axiom”, Mat. Zametki, 26:1 (1979), 113–121; Math. Notes, 26:1 (1979), 549–553
1978
52.
V. G. Kanovei, “The essentialness of parameters and the complexity of the fundamental formula of the comprehension scheme in second-order arithmetic”, Dokl. Akad. Nauk SSSR, 243:6 (1978), 1384–1386
53.
V. G. Kanovei, “On the nonemptiness of classes in axiomatic set theory”, Izv. Akad. Nauk SSSR Ser. Mat., 42:3 (1978), 550–579; Math. USSR-Izv., 12:3 (1978), 507–535
V. G. Kanovei, “Proof of a theorem of Lusin”, Mat. Zametki, 23:1 (1978), 61–66; Math. Notes, 23:1 (1978), 35–37
1975
55.
V. G. Kanovei, “On the independence of some propositions of descriptive set theory and second-order arithmetic”, Dokl. Akad. Nauk SSSR, 223:3 (1975), 552–554
V. G. Kanovei, “On degrees of constructibility and descriptive properties of the set of real numbers in an initial model and in its extensions”, Dokl. Akad. Nauk SSSR, 216:4 (1974), 728–729
Contact us: