Geodesic
Extension of standard models of ZFC to models of Nelson's nonstandard set theory IST
Matematičeskie zametki, Tome 66 (1999) no. 2, pp. 202-210 
V. G. Kanovei; M. Reeken. Extension of standard models of ZFC to models of Nelson's nonstandard set theory IST. Matematičeskie zametki, Tome 66 (1999) no. 2, pp. 202-210. http://geodesic.mathdoc.fr/item/MZM_1999_66_2_a6/
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     title = {Extension of standard models of {ZFC} to models of {Nelson's} nonstandard set theory {IST}},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1999_66_2_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Nelson E., “Internal set theory: a new approach to nonstandard analysis”, Bull. Amer. Math. Soc., 83 (1977), 1165–1198 | DOI | MR | Zbl

[2] Kanovei V. G., “Nerazreshimye gipotezy v teorii vnutrennikh mnozhestv Edvarda Nelsona”, UMN, 46:6 (1991), 3–50 | MR | Zbl

[3] Hrbaček K., “Axiomatic foundations for nonstandard analysis”, Fund. Math., 98 (1978), 1–19 | MR | Zbl

[4] Kanovei V., Reeken M., “Internal approach to external sets and universes, 1”, Studia Logica, 55:2 (1995), 227–235 | DOI | MR

[5] Kanovei V., Reeken M., “Mathematics in a nonstandard world”, Math. Japon., 45:2 (1997), 369–408 ; 3, 555–571 | MR | Zbl | MR | Zbl

[6] Kawaï T., “Nonstandard analysis by axiomatic methods”, Southeast Asia Conference on Logic (Singapore, 1981), Stud. Logic Found. Math., 111, North-Holland, Amsterdam, 1983, 55–76

[7] Kusraev A. G., Kutateladze S. S., Nestandartnye metody analiza, Nauka, Novosibirsk, 1990