Vladimir Kanovei

Vladimir G. Kanovei
Born	1951 (age 73–74) Russia
Known for	Nonstandard analysis, Borel equivalence relations, descriptive set theory
Notable work	Nonstandard Analysis, Axiomatically (2004) Borel Equivalence Relations (2008) Tools, Objects, and Chimeras (2013)
Scientific career
Fields	Mathematical logic, foundations of mathematics, mathematical history
Institutions	Institute for Information Transmission Problems, Moscow

Vladimir G. Kanovei (born 1951) is a Russian mathematician working at the Institute for Information Transmission Problems in Moscow, Russia. His interests include mathematical logic and foundations, as well as mathematical history.

Selected publications

• Kanovei, Vladimir; Katz, Mikhail G.; Mormann, Thomas (2013), "Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics", Foundations of Science , 18 (2): 259–296, arXiv: 1211.0244 , doi:10.1007/s10699-012-9316-5, S2CID   254515019 .
• Kanovei, Vladimir; Reeken, Michael; Nonstandard analysis, axiomatically. Springer Monographs in Mathematics. Springer-Verlag, Berlin, 2004. xvi+408 pp. ISBN   3-540-22243-X
• Kanovei, Vladimir; Borel equivalence relations. Structure and classification. University Lecture Series, 44. American Mathematical Society, Providence, RI, 2008. x+240 pp. ISBN   978-0-8218-4453-3
• Kanoveĭ, V.; Reeken, M.; On Ulam's problem concerning the stability of approximate homomorphisms. (Russian) Tr. Mat. Inst. Steklova 231 (2000), Din. Sist., Avtom. i Beskon. Gruppy, 249–283; translation in Proc. Steklov Inst. Math. 2000, no. 4 (231), 238–270
• Kanoveĭ, V. G.; Lyubetskiĭ, V. A.; On some classical problems in descriptive set theory. (Russian) Uspekhi Mat. Nauk 58 (2003), no. 5(353), 3--88; translation in Russian Math. Surveys 58 (2003), no. 5, 839–927
• Kanoveĭ, V. G.; Reeken, M.; Some new results on the Borel irreducibility of equivalence relations. (Russian) Izv. Ross. Akad. Nauk Ser. Mat. 67 (2003), no. 1, 59–82; translation in Izv. Math. 67 (2003), no. 1, 55–76 03E15 (54H05)
• Kanovei, Vladimir; Reeken, Michael; Mathematics in a nonstandard world. II. Math. Japon. 45 (1997), no. 3, 555–571.
• Kanovei, Vladimir; On non-wellfounded iterations of the perfect set forcing. Journal of Symbolic Logic 64 (1999), no. 2, 551–574.
• Kanovei, Vladimir; Shelah, Saharon; A definable nonstandard model of the reals. Journal of Symbolic Logic 69 (2004), no. 1, 159–164.
• Kanovei, Vladimir; Reeken, Michael. Internal approach to external sets and universes. I. Bounded set theory. Studia Logica 55 (1995), no. 2, 229–257.
• Kanovei, Vladimir; Reeken, Michael. Internal approach to external sets and universes. II. External universes over the universe of bounded set theory. Studia Logica 55 (1995), no. 3, 347–376.
• Kanovei, Vladimir; Reeken, Michael. Internal approach to external sets and universes. III. Partially saturated universes. Studia Logica 56 (1996), no. 3, 293–322.

This series of three papers was reviewed by Karel Hrbacek here.

External links

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