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Kanovei, Vladimir Grigorevich

Statistics Math-Net.Ru
Total publications: 60
Scientific articles: 57
Presentations: 26

Number of views:
This page:4264
Abstract pages:24875
Full texts:11119
References:1781
Professor
Doctor of physico-mathematical sciences (1985)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: ,
Website: http://iitp.ru/ru/users/156.htm
Keywords: set theory, nonstandard analysis.
UDC: 51.01.16, 510.2, 510.223, 510.225, 510.227, 510.6, 512.662, 513.83, 517.11, 517.118, 517.2, 517.5, 517.518.112, 517.518.2, 517.987.1, 519.47, 519.5
MSC: 03E40, 03E70, 03H05

Subject:

Set theory, nonstandard analysis.


https://www.mathnet.ru/eng/person12631
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:kanovei.vladimir-g
https://elibrary.ru/author_items.asp?spin=7264-8629
https://orcid.org/0000-0001-7415-9784
https://www.webofscience.com/wos/author/record/AAX-2015-2020
https://www.scopus.com/authid/detail.url?authorId=7004031461
https://www.researchgate.net/profile/Vladimir-Kanovei-2
Full list of publications: http://iitp.ru/ru/users/156/publications

Publications in Math-Net.Ru Citations
2021
1. 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  mathnet; Izv. Math., 85:6 (2021), 1181–1219  isi  scopus 7
2020
2. V. G. Kanovei, V. A. Lyubetskii, “On the Equality Relation Modulo a Countable Set”, Mat. Zametki, 108:4 (2020),  629–631  mathnet  mathscinet  elib; Math. Notes, 108:4 (2020), 615–616  isi  scopus 2
2019
3. V. G. Kanovei, V. A. Lyubetskii, “Definable Elements of Definable Borel Sets”, Mat. Zametki, 105:5 (2019),  696–707  mathnet  mathscinet  elib; Math. Notes, 105:5 (2019), 684–693  isi  scopus 1
4. V. G. Kanovei, V. A. Lyubetskii, “Absoluteness of the solovay set Σ”, Sibirsk. Mat. Zh., 60:6 (2019),  1286–1290  mathnet  elib; Siberian Math. J., 60:6 (2019), 1003–1006  isi  scopus
2018
5. 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  mathnet  mathscinet  elib; Izv. Math., 82:1 (2018), 61–90  isi  scopus 11
2017
6. V. G. Kanovei, V. A. Lyubetskii, “A Countable Definable Set Containing no Definable Elements”, Mat. Zametki, 102:3 (2017),  369–382  mathnet  mathscinet  elib; Math. Notes, 102:3 (2017), 338–349  isi  scopus 17
7. V. G. Kanovei, V. A. Lyubetsky, “A generic property of the Solovay set $\Sigma$”, Sibirsk. Mat. Zh., 58:6 (2017),  1302–1305  mathnet  elib; Siberian Math. J., 58:6 (2017), 1012–1014  isi  scopus 3
2015
8. V. G. Kanovei, V. A. Lyubetskii, “On Effective $\sigma$-Boundedness and $\sigma$-Compactness in Solovay's Model”, Mat. Zametki, 98:2 (2015),  247–257  mathnet  mathscinet  elib; Math. Notes, 98:2 (2015), 273–282  isi  scopus 1
9. V. G. Kanovei, V. A. Lyubetsky, “Generalization of one construction by Solovay”, Sibirsk. Mat. Zh., 56:6 (2015),  1341–1350  mathnet  mathscinet  elib; Siberian Math. J., 56:6 (2015), 1072–1079  isi  scopus 4
2012
10. V. G. Kanovei, V. A. Lyubetskii, “Effective Compactness and Sigma-Compactness”, Mat. Zametki, 91:6 (2012),  840–852  mathnet  mathscinet  elib; Math. Notes, 91:6 (2012), 789–799  isi  elib  scopus 2
2011
11. V. G. Kanovei, V. A. Lyubetsky, “An effective minimal encoding of uncountable sets”, Sibirsk. Mat. Zh., 52:5 (2011),  1074–1086  mathnet  mathscinet; Siberian Math. J., 52:5 (2011), 854–863  isi  scopus 5
2009
12. V. G. Kanovei, “On Hausdorff ordered structures”, Izv. RAN. Ser. Mat., 73:5 (2009),  83–104  mathnet  mathscinet  zmath  elib; Izv. Math., 73:5 (2009), 939–958  isi  elib  scopus 2
2008
13. V. G. Kanovei, T. Linton, V. A. Uspenskii, “Lebesgue measure and gambling”, Mat. Sb., 199:11 (2008),  21–44  mathnet  mathscinet  zmath  elib; Sb. Math., 199:11 (2008), 1597–1619  isi  elib  scopus 1
14. V. G. Kanovei, V. A. Lyubetskii, “Borel reducibility as an additive property of domains”, Zap. Nauchn. Sem. POMI, 358 (2008),  189–198  mathnet  elib; J. Math. Sci. (N. Y.), 158:5 (2009), 708–712  elib  scopus
2007
15. V. G. Kanovei, V. A. Lyubetskii, M. Reeken, “Reducibility of Monadic Equivalence Relations”, Mat. Zametki, 81:6 (2007),  842–854  mathnet  mathscinet  zmath  elib; Math. Notes, 81:6 (2007), 757–766  isi  elib  scopus
16. V. G. Kanovei, V. A. Lyubetskii, “Problems in set-theoretic nonstandard analysis”, Uspekhi Mat. Nauk, 62:1(373) (2007),  51–122  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:1 (2007), 45–111  isi  scopus 6
2006
17. 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  mathnet  mathscinet; Proc. Steklov Inst. Math., 252 (2006), 85–103  scopus
18. V. G. Kanovei, V. A. Uspenskii, “Uniqueness of nonstandard extensions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 5,  3–10  mathnet  mathscinet  zmath 1
2005
19. V. G. Kanovei, V. A. Lyubetskii, “Perfect subsets of invariant CA-sets”, Mat. Zametki, 77:3 (2005),  334–338  mathnet  mathscinet  zmath  elib; Math. Notes, 77:3 (2005), 307–310  isi  elib  scopus
20. 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  mathnet  mathscinet
2004
21. V. G. Kanovei, V. A. Lyubetskii, “On the Set of Constructible Reals”, Trudy Mat. Inst. Steklova, 247 (2004),  95–128  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 247 (2004), 83–114 3
2003
22. V. G. Kanovei, M. Reeken, “Some new results on Borel irreducibility of equivalence relations”, Izv. RAN. Ser. Mat., 67:1 (2003),  59–82  mathnet  mathscinet  zmath; Izv. Math., 67:1 (2003), 55–76  isi  scopus 9
23. V. G. Kanovei, V. A. Lyubetskii, “On some classical problems of descriptive set theory”, Uspekhi Mat. Nauk, 58:5(353) (2003),  3–88  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 58:5 (2003), 839–927  isi  scopus 22
2001
24. V. G. Kanovei, “Nonstandard Set Theory in $\in$-Language”, Mat. Zametki, 70:1 (2001),  46–50  mathnet  mathscinet  zmath; Math. Notes, 70:1 (2001), 42–45  isi
2000
25. V. G. Kanovei, M. Reeken, “On Ulam's Problem of Stability of Non-exact Homomorphisms”, Trudy Mat. Inst. Steklova, 231 (2000),  249–283  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 231 (2000), 238–270 9
1999
26. 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  mathnet  mathscinet  zmath; Math. Notes, 66:2 (1999), 160–166  isi
1998
27. V. G. Kanovei, J. Zapletal, “Pyramidal structure of constructibility degrees”, Mat. Zametki, 63:4 (1998),  632–635  mathnet  mathscinet  zmath; Math. Notes, 63:4 (1998), 556–559  isi 1
1996
28. 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  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:3 (1996), 385–417  isi  scopus 4
1992
29. V. G. Kanovei, “On the extension principle in internal set theory”, Sibirsk. Mat. Zh., 33:6 (1992),  66–78  mathnet  mathscinet  zmath; Siberian Math. J., 33:6 (1992), 999–1010  isi
1991
30. V. G. Kanovei, “Cardinality of the set of Vitali equivalence classes”, Mat. Zametki, 49:4 (1991),  55–62  mathnet  mathscinet  zmath; Math. Notes, 49:4 (1991), 370–374  isi 3
31. V. G. Kanovei, “Undecidable hypotheses in Edward Nelson's internal set theory”, Uspekhi Mat. Nauk, 46:6(282) (1991),  3–50  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:6 (1991), 1–54  isi 15
1988
32. V. G. Kanovei, “Kolmogorov's ideas in the theory of operations on sets”, Uspekhi Mat. Nauk, 43:6(264) (1988),  93–128  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:6 (1988), 111–155  isi 5
33. 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  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:4 (1988), 65–94  isi 11
34. 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  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 182 (1990), 245–265
35. 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  mathnet  mathscinet  zmath 1
1987
36. V. G. Kanovei, “N. N. Luzin's problems on the existence of $CA$-sets without perfect subsets”, Mat. Zametki, 41:5 (1987),  750–757  mathnet  mathscinet  zmath; Math. Notes, 41:5 (1987), 422–426  isi 1
1985
37. 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  mathnet  mathscinet  zmath; J. Soviet Math., 40:3 (1988), 257–287 4
38. V. G. Kanovei, “Problem of the existence of nonBorel $AF_\|$-sets”, Mat. Zametki, 37:2 (1985),  274–283  mathnet  mathscinet  zmath; Math. Notes, 37:2 (1985), 156–161  isi 2
39. 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  mathnet  mathscinet  zmath; Russian Math. Surveys, 40:3 (1985), 135–180  isi 14
1984
40. V. G. Kanovei, “Undecidable and decidable properties of constituents”, Mat. Sb. (N.S.), 124(166):4(8) (1984),  505–535  mathnet  mathscinet  zmath; Math. USSR-Sb., 52:2 (1985), 491–519 7
1983
41. V. G. Kanovei, “An answer to Luzin's question about the separability of $CA$-curves”, Mat. Zametki, 33:3 (1983),  435–437  mathnet  mathscinet  zmath; Math. Notes, 33:3 (1983), 223–224
42. V. G. Kanovei, “Generalization of P. S. Novikov's theorem on cross sections of Borel sets”, Mat. Zametki, 33:2 (1983),  289–292  mathnet  mathscinet  zmath; Math. Notes, 33:2 (1983), 144–146  isi
43. 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  mathnet  mathscinet 4
1982
44. V. G. Kanovei, “N. N. Luzin's problems on imbeddability and decomposability of projective sets”, Mat. Zametki, 32:1 (1982),  23–39  mathnet  mathscinet  zmath; Math. Notes, 32:1 (1982), 490–499  isi 1
1981
45. V. G. Kanovei, A. V. Ostrovsky, “On non-Borel $F_\parallel$-sets”, Dokl. Akad. Nauk SSSR, 260:5 (1981),  1061–1064  mathnet  mathscinet  zmath
46. V. G. Kanovei, “On uncountable sequences of sets given by the sieve operation”, Dokl. Akad. Nauk SSSR, 257:4 (1981),  808–812  mathnet  mathscinet  zmath 1
47. 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  mathnet  mathscinet  zmath; Math. Notes, 30:3 (1981), 695–702  isi 1
1980
48. 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  mathnet  mathscinet  zmath
1979
49. 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  mathnet  mathscinet  zmath; Math. USSR-Izv., 15:3 (1980), 469–500  isi 4
50. V. G. Kanovei, “A consequence of the Martin axiom”, Mat. Zametki, 26:1 (1979),  113–121  mathnet  mathscinet  zmath; Math. Notes, 26:1 (1979), 549–553  isi
1978
51. 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  mathnet  mathscinet
52. V. G. Kanovei, “On the nonemptiness of classes in axiomatic set theory”, Izv. Akad. Nauk SSSR Ser. Mat., 42:3 (1978),  550–579  mathnet  mathscinet  zmath; Math. USSR-Izv., 12:3 (1978), 507–535 9
53. V. G. Kanovei, “Proof of a theorem of Lusin”, Mat. Zametki, 23:1 (1978),  61–66  mathnet  mathscinet  zmath; Math. Notes, 23:1 (1978), 35–37
1975
54. 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  mathnet  mathscinet  zmath 1
55. V. G. Kanovei, “On initial segments of degrees of constructibility”, Mat. Zametki, 17:6 (1975),  939–946  mathnet  mathscinet  zmath; Math. Notes, 17:6 (1975), 563–567 1
1974
56. 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  mathnet  mathscinet  zmath 1
1973
57. V. Kanovei, “Singular cardinals”, Mat. Zametki, 13:5 (1973),  717–724  mathnet  mathscinet  zmath; Math. Notes, 13:5 (1973), 429–433

1992
58. V. G. Kanovei, “Second “Mathematical Readings” in memory of M. Ya. Suslin”, Uspekhi Mat. Nauk, 47:3(285) (1992),  197–198  mathnet
1990
59. V. G. Kanovei, ““Mathematical Readings” in memory of M. Ya. Suslin”, Uspekhi Mat. Nauk, 45:2(272) (1990),  231  mathnet 1
1989
60. V. G. Kanovei, “First All-Union Seminar on Nonstandard Analysis”, Uspekhi Mat. Nauk, 44:3(267) (1989),  201  mathnet

Presentations in Math-Net.Ru
1. Lecture 10. Descriptive set theory
V. G. Kanovei
Course by V. G. Kanovei "Descriptive set theory"
November 15, 2023 18:00   
2. Lecture 9. Descriptive set theory
V. G. Kanovei
Course by V. G. Kanovei "Descriptive set theory"
November 8, 2023 18:00   
3. Lecture 8. Descriptive set theory
V. G. Kanovei
Course by V. G. Kanovei "Descriptive set theory"
November 1, 2023 18:00   
4. Lecture 7. Descriptive set theory
V. G. Kanovei
Course by V. G. Kanovei "Descriptive set theory"
October 25, 2023 18:00   
5. Lecture 6. Descriptive set theory
V. G. Kanovei
Course by V. G. Kanovei "Descriptive set theory"
October 18, 2023 18:00   
6. Lecture 5. Descriptive set theory
V. G. Kanovei
Course by V. G. Kanovei "Descriptive set theory"
October 11, 2023 18:00
7. Lecture 4. Descriptive set theory
V. G. Kanovei
Course by V. G. Kanovei "Descriptive set theory"
October 4, 2023 18:00   
8. Lecture 3. Descriptive set theory
V. G. Kanovei
Course by V. G. Kanovei "Descriptive set theory"
September 27, 2023 18:00   
9. Lecture 2. Descriptive set theory
V. G. Kanovei
Course by V. G. Kanovei "Descriptive set theory"
September 20, 2023 18:00   
10. Решение проблемы (1948 год) А. Тарского
V. A. Lyubetskii, V. G. Kanovei
Dobrushin Mathematics Laboratory Seminar
September 19, 2023 16:00
11. Lecture 1. Descriptive set theory
V. G. Kanovei
Course by V. G. Kanovei "Descriptive set theory"
September 13, 2023 18:00   
12. Lecture 10. Set Theory II
V. G. Kanovei
Set Theory
November 23, 2022 13:10   
13. Lecture 9. Set Theory II
V. G. Kanovei
Set Theory
November 16, 2022 13:10   
14. О существенности параметров в схеме аксиом свертки в арифметике второго порядка
V. G. Kanovei
Second Conference of Russian Mathematical Centers. Section «Mathematical Logic and Theoretical Computer Science»
November 10, 2022 15:00   
15. Lecture 8. Set Theory II
V. G. Kanovei
Set Theory
November 9, 2022 13:10   
16. Lecture 7. Set Theory II
V. G. Kanovei
Set Theory
November 2, 2022 13:10   
17. Lecture 6. Set Theory II
V. G. Kanovei
Set Theory
October 26, 2022 13:10   
18. Lecture 5. Set Theory II
V. G. Kanovei
Set Theory
October 19, 2022 13:10   
19. Lecture 4. Set Theory II
V. G. Kanovei
Set Theory
October 12, 2022 13:10   
20. Lecture 3. Set Theory II
V. G. Kanovei
Set Theory
October 5, 2022 13:10   
21. Lecture 2. Set Theory II
V. G. Kanovei
Set Theory
September 28, 2022 13:10   
22. Lecture 1. Set Theory II
V. G. Kanovei
Set Theory
September 21, 2022 13:10   
23. Some definable counterexamples in models of set theory
V. G. Kanovei
Seminars "Proof Theory" and "Logic Online Seminar"
April 4, 2022 18:30   
24. Paradoxical partitions of the reals by Robert Solovay
V. G. Kanovei
Adian 90: Conference on Mathematical Logic, Algebra, and Computation
July 7, 2021 12:45   
25. Определимые элементы определимых множеств
V. G. Kanovei
Seminars "Proof Theory" and "Logic Online Seminar"
March 5, 2018 18:30
26. Определимые элементы определимых множеств
V. G. Kanovei
Seminars "Proof Theory" and "Logic Online Seminar"
February 26, 2018 18:30

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