Coupures propres dans * R

Benjamin Delay

Annales mathématiques Blaise Pascal (1997)

  • Volume: 4, Issue: 1, page 19-25
  • ISSN: 1259-1734

How to cite

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Delay, Benjamin. "Coupures propres dans $^\ast \mathrm {R}$." Annales mathématiques Blaise Pascal 4.1 (1997): 19-25. <http://eudml.org/doc/79176>.

@article{Delay1997,
author = {Delay, Benjamin},
journal = {Annales mathématiques Blaise Pascal},
keywords = {nonstandard model; ordered field; Scott complete field},
language = {fre},
number = {1},
pages = {19-25},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Coupures propres dans $^\ast \mathrm \{R\}$},
url = {http://eudml.org/doc/79176},
volume = {4},
year = {1997},
}

TY - JOUR
AU - Delay, Benjamin
TI - Coupures propres dans $^\ast \mathrm {R}$
JO - Annales mathématiques Blaise Pascal
PY - 1997
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 4
IS - 1
SP - 19
EP - 25
LA - fre
KW - nonstandard model; ordered field; Scott complete field
UR - http://eudml.org/doc/79176
ER -

References

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  1. [1] : Shizuo Kamo : Nonstandard natural number systems and nonstandard models, J. of Symb. logic ; Vol. 46, N°2 (Juin 1981), p365-376. Zbl0471.03052MR613289
  2. [2] : Shizuo Kamo : Nonstandard real number systems with regular gaps, TSUKUBA J. Math ; Vol. 5, N°1 (1981), p21-24. Zbl0473.03065MR630517
  3. [3] : Marco Fortiet Furio Honsell : Sull'ordinamento dei numeri reali non-standard, RENDICONTI delle sedute della accademia nazionale dei lincei, Vol LXXIX, Fasc. 1-4, p1-8 
  4. [4] : Nicolas Bourbaki : Algebre, Chapitre VI, §2, Ex. 34-40. 
  5. [5] : C.C. Chang et H. Jerome Keisler : Model Theory, Third edition, North-Holland Elsevier1990 (Chapitre 6). Zbl0697.03022MR1059055
  6. [6] : H. Jerome Keisleret James H. Schmerl : Making the hyperreal line both saturated and complete, J. of Symb. logic ; Vol 56, N°3 (Sept. 1991), p1016-1025. Zbl0747.03032MR1129164

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