Geodesic
Some remarks on nonstandard theory of classes
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 5, pp. 233-255 
K. Hrbacek. Some remarks on nonstandard theory of classes. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 5, pp. 233-255. http://geodesic.mathdoc.fr/item/FPM_2005_11_5_a17/
@article{FPM_2005_11_5_a17,
     author = {K. Hrbacek},
     title = {Some remarks on nonstandard theory of classes},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {233--255},
     year = {2005},
     volume = {11},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_5_a17/}
}
TY  - JOUR
AU  - K. Hrbacek
TI  - Some remarks on nonstandard theory of classes
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2005
SP  - 233
EP  - 255
VL  - 11
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/FPM_2005_11_5_a17/
LA  - ru
ID  - FPM_2005_11_5_a17
ER  - 
%0 Journal Article
%A K. Hrbacek
%T Some remarks on nonstandard theory of classes
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2005
%P 233-255
%V 11
%N 5
%U http://geodesic.mathdoc.fr/item/FPM_2005_11_5_a17/
%G ru
%F FPM_2005_11_5_a17

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper, we discuss several hitherto open problems concerning classes in nonstandard set theory.

[1] Andreev P. V., Gordon E. I., “An axiomatics for nonstandard set theory, based on von Neumann–Bernays–Gödel theory”, J. Symbolic Logic, 66 (2001), 1321–1341 | DOI | MR | Zbl

[2] Andreev P. V., Hrbacek K., “Standard sets in nonstandard set theory”, J. Symbolic Logic, 69 (2004), 165–182 | DOI | MR | Zbl

[3] Hrbacek K., “Axiomatic foundations for nonstandard analysis”, Fund. Math., 98 (1978), 1–19 ; J. Symbolic Logic, 41 (1976), 285 | MR | Zbl

[4] Hrbacek K., “Nonstandard objects in set theory”, Proc. Conf. “Nonstandard Methods and Applications in Mathematics” (Pisa, 2002)

[5] Hrbacek K., Nonstandard Kelley–Morse set theory, Preprint, 2004 | MR

[6] Jech T., Set Theory, Academic Press, New York, 1978 | MR | Zbl

[7] Kanovei V., On Kelley–Morse type nonstandard theories, Preprint, 2004

[8] Kanovei V., Reeken M., Nonstandard Analysis, Axiomatically, Springer, Berlin, 2004 | MR | Zbl

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