Kanovei Vladimir Grigorevich

Publications in Math-Net.Ru

1. On constructible sets in Simpson's set theory
   
   Mat. Zametki, 120:1 (2026),  22–37
2. Independence of the comprehension schema in second-order arithmetic from the parameter-free countable choice
   
   Mat. Zametki, 117:2 (2025),  257–269
3. Models of set theory in which the separation theorem fails
   
   Izv. RAN. Ser. Mat., 85:6 (2021),  164–204
4. On the Equality Relation Modulo a Countable Set
   
   Mat. Zametki, 108:4 (2020),  629–631
5. Definable Elements of Definable Borel Sets
   
   Mat. Zametki, 105:5 (2019),  696–707
6. Absoluteness of the solovay set Σ
   
   Sibirsk. Mat. Zh., 60:6 (2019),  1286–1290
7. 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
8. A Countable Definable Set Containing no Definable Elements
   
   Mat. Zametki, 102:3 (2017),  369–382
9. A generic property of the Solovay set $\Sigma$
   
   Sibirsk. Mat. Zh., 58:6 (2017),  1302–1305
10. On Effective $\sigma$-Boundedness and $\sigma$-Compactness in Solovay's Model
    
    Mat. Zametki, 98:2 (2015),  247–257
11. Generalization of one construction by Solovay
    
    Sibirsk. Mat. Zh., 56:6 (2015),  1341–1350
12. Effective Compactness and Sigma-Compactness
    
    Mat. Zametki, 91:6 (2012),  840–852
13. An effective minimal encoding of uncountable sets
    
    Sibirsk. Mat. Zh., 52:5 (2011),  1074–1086
14. On Hausdorff ordered structures
    
    Izv. RAN. Ser. Mat., 73:5 (2009),  83–104
15. Lebesgue measure and gambling
    
    Mat. Sb., 199:11 (2008),  21–44
16. Borel reducibility as an additive property of domains
    
    Zap. Nauchn. Sem. POMI, 358 (2008),  189–198
17. Reducibility of Monadic Equivalence Relations
    
    Mat. Zametki, 81:6 (2007),  842–854
18. Problems in set-theoretic nonstandard analysis
    
    Uspekhi Mat. Nauk, 62:1(373) (2007),  51–122
19. A Cofinal Family of Equivalence Relations and Borel Ideals Generating Them
    
    Trudy Mat. Inst. Steklova, 252 (2006),  94–113
20. Uniqueness of nonstandard extensions
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 5,  3–10
21. Perfect subsets of invariant CA-sets
    
    Mat. Zametki, 77:3 (2005),  334–338
22. On the equivalence of two forms of the continuum hypothesis
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 3,  62–64
23. On the Set of Constructible Reals
    
    Trudy Mat. Inst. Steklova, 247 (2004),  95–128
24. Some new results on Borel irreducibility of equivalence relations
    
    Izv. RAN. Ser. Mat., 67:1 (2003),  59–82
25. On some classical problems of descriptive set theory
    
    Uspekhi Mat. Nauk, 58:5(353) (2003),  3–88
26. Nonstandard Set Theory in $\in$-Language
    
    Mat. Zametki, 70:1 (2001),  46–50
27. On Ulam's Problem of Stability of Non-exact Homomorphisms
    
    Trudy Mat. Inst. Steklova, 231 (2000),  249–283
28. Extension of standard models of ZFC to models of Nelson's nonstandard set theory IST
    
    Mat. Zametki, 66:2 (1999),  202–210
29. Pyramidal structure of constructibility degrees
    
    Mat. Zametki, 63:4 (1998),  632–635
30. Topologies generated by effectively Suslin sets, and their applications in descriptive set theory
    
    Uspekhi Mat. Nauk, 51:3(309) (1996),  17–52
31. On the extension principle in internal set theory
    
    Sibirsk. Mat. Zh., 33:6 (1992),  66–78
32. Cardinality of the set of Vitali equivalence classes
    
    Mat. Zametki, 49:4 (1991),  55–62
33. Undecidable hypotheses in Edward Nelson's internal set theory
    
    Uspekhi Mat. Nauk, 46:6(282) (1991),  3–50
34. Kolmogorov's ideas in the theory of operations on sets
    
    Uspekhi Mat. Nauk, 43:6(264) (1988),  93–128
35. 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
36. Work on descriptive set theory carried out at the V. A. Steklov Institute of Mathematics
    
    Trudy Mat. Inst. Steklov., 182 (1988),  224–244
37. M. Ya. Suslin's contribution to set-theoretic mathematics
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 5,  22–30
38. N. N. Luzin's problems on the existence of $CA$-sets without perfect subsets
    
    Mat. Zametki, 41:5 (1987),  750–757
39. The axiom of determinacy and the modern development of descriptive set theory
    
    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 23 (1985),  3–50
40. Problem of the existence of nonBorel $AF_\|$-sets
    
    Mat. Zametki, 37:2 (1985),  274–283
41. 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
42. Undecidable and decidable properties of constituents
    
    Mat. Sb. (N.S.), 124(166):4(8) (1984),  505–535
43. An answer to Luzin's question about the separability of $CA$-curves
    
    Mat. Zametki, 33:3 (1983),  435–437
44. Generalization of P. S. Novikov's theorem on cross sections of Borel sets
    
    Mat. Zametki, 33:2 (1983),  289–292
45. Luzin's problems on constituents and their fate
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 6,  73–87
46. N. N. Luzin's problems on imbeddability and decomposability of projective sets
    
    Mat. Zametki, 32:1 (1982),  23–39
47. On non-Borel $F_\parallel$-sets
    
    Dokl. Akad. Nauk SSSR, 260:5 (1981),  1061–1064
48. On uncountable sequences of sets given by the sieve operation
    
    Dokl. Akad. Nauk SSSR, 257:4 (1981),  808–812
49. 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
50. On some problems of descriptive set theory and the connection between constructibility and definability
    
    Dokl. Akad. Nauk SSSR, 253:4 (1980),  800–803
51. 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
52. A consequence of the Martin axiom
    
    Mat. Zametki, 26:1 (1979),  113–121
53. 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
54. On the nonemptiness of classes in axiomatic set theory
    
    Izv. Akad. Nauk SSSR Ser. Mat., 42:3 (1978),  550–579
55. Proof of a theorem of Lusin
    
    Mat. Zametki, 23:1 (1978),  61–66
56. On the independence of some propositions of descriptive set theory and second-order arithmetic
    
    Dokl. Akad. Nauk SSSR, 223:3 (1975),  552–554
57. On initial segments of degrees of constructibility
    
    Mat. Zametki, 17:6 (1975),  939–946
58. 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
59. Singular cardinals
    
    Mat. Zametki, 13:5 (1973),  717–724


60. Second “Mathematical Readings” in memory of M. Ya. Suslin
    
    Uspekhi Mat. Nauk, 47:3(285) (1992),  197–198
61. “Mathematical Readings” in memory of M. Ya. Suslin
    
    Uspekhi Mat. Nauk, 45:2(272) (1990),  231
62. First All-Union Seminar on Nonstandard Analysis
    
    Uspekhi Mat. Nauk, 44:3(267) (1989),  201