Misplaced Pages

Vladimir Kanovei

Article snapshot taken from Wikipedia with creative commons attribution-sharealike license. Give it a read and then ask your questions in the chat. We can research this topic together.
Russian mathematician
This biography of a living person includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. Contentious material about living persons that is unsourced or poorly sourced must be removed immediately, especially if potentially libelous or harmful. Please help improve this article by introducing more precise citations. (October 2013) (Learn how and when to remove this message)

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


Stub icon

This article about a Russian mathematician is a stub. You can help Misplaced Pages by expanding it.

Categories: