Propriétés des classes d’éléments α -standard

Emmanuel Isambert

Annales mathématiques Blaise Pascal (1997)

  • Volume: 4, Issue: 1, page 57-67
  • ISSN: 1259-1734

How to cite

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Isambert, Emmanuel. "Propriétés des classes d’éléments $\alpha $-standard." Annales mathématiques Blaise Pascal 4.1 (1997): 57-67. <http://eudml.org/doc/79181>.

@article{Isambert1997,
author = {Isambert, Emmanuel},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Relative Internal Set Theory; -transfer principle; idealization; standardization},
language = {fre},
number = {1},
pages = {57-67},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Propriétés des classes d’éléments $\alpha $-standard},
url = {http://eudml.org/doc/79181},
volume = {4},
year = {1997},
}

TY - JOUR
AU - Isambert, Emmanuel
TI - Propriétés des classes d’éléments $\alpha $-standard
JO - Annales mathématiques Blaise Pascal
PY - 1997
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 4
IS - 1
SP - 57
EP - 67
LA - fre
KW - Relative Internal Set Theory; -transfer principle; idealization; standardization
UR - http://eudml.org/doc/79181
ER -

References

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  1. [1] J.L. Bell and A.B. Slomson. Models and Ultraproducts: an introduction. North Holland, 1971. Zbl0179.31402MR269486
  2. [2] Labib Haddad. La double ultrapuissance. Exposé 24, Séminaire d'Analyse, Université de Clermont II, Département de Mathématiques, 1987-88. Zbl0697.03040MR1088979
  3. [3] W.A.J. Luxemburg and K.D. Stroyan. Introduction to the theory of infinitesimals. LondonAcademic Press, 1976. Zbl0336.26002MR491163
  4. [4] Edward Nelson. Internal set theory. Bull. Amer. Math. Soc., 83:1165-1198, 1977. Zbl0373.02040MR469763
  5. [5] Edward Nelson. The syntax of non standard analysis. Annals of Pure and Applied Logic, 38(2):123-124, 1988. Zbl0642.03040
  6. [6] Yves Péraire. Théorie relative des ensembles internes. Osaka Journal of Mathematics, (2), 1992. Zbl0803.03046MR1173990
  7. [7] Abraham Robinson. Non standard analysis. North Holland, Amsterdam, 1966. Zbl0151.00803MR205854

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