Ultraproduits ultramétriques de corps valués

Bertin Diarra

Annales scientifiques de l'Université de Clermont. Mathématiques (1984)

  • Volume: 82, Issue: 22, page 1-37
  • ISSN: 0249-7042

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Diarra, Bertin. "Ultraproduits ultramétriques de corps valués." Annales scientifiques de l'Université de Clermont. Mathématiques 82.22 (1984): 1-37. <http://eudml.org/doc/80552>.

@article{Diarra1984,
author = {Diarra, Bertin},
journal = {Annales scientifiques de l'Université de Clermont. Mathématiques},
keywords = {non-Archimedean valued fields; ultrafilter; local field; ramification; ultraproducts},
language = {fre},
number = {22},
pages = {1-37},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Ultraproduits ultramétriques de corps valués},
url = {http://eudml.org/doc/80552},
volume = {82},
year = {1984},
}

TY - JOUR
AU - Diarra, Bertin
TI - Ultraproduits ultramétriques de corps valués
JO - Annales scientifiques de l'Université de Clermont. Mathématiques
PY - 1984
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 82
IS - 22
SP - 1
EP - 37
LA - fre
KW - non-Archimedean valued fields; ultrafilter; local field; ramification; ultraproducts
UR - http://eudml.org/doc/80552
ER -

References

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  1. [ 1 ] J. Ax and S. Kochen: Diophantine problems over local fields I, Amer. Jour. of Math. -871965 - pp. 605-630. Zbl0136.32805MR184930
  2. [2] J.L. Bell and A.B. Slomson: Models and ultraproducts, North-Holland, Amsterdam-London -1969. Zbl0179.31402MR269486
  3. [3] D. Dacunha - Castelle et J.L. Krivine: Applications des ultraproduits à l'étude des espaces et des algèbres de Banach, Studia Math. - 41-1972 - pp. 315-334. Zbl0275.46023MR305035
  4. [4] B. Diarra: Ultraproduits de corps munis d'une valeur absolue ultramétriqueC.R. Acad. Sc. Paris - t. 284 -1977 - pp.1261-1263. Zbl0351.12103MR444465
  5. [5]] L. Gruson and M. Van der PUT: Banach spaces. Table ronde Anal. non-arch. (1972 - Paris), Bull. Soc. Math. France; Mémoire 39-40 - 1974 - pp. 56-100. Zbl0312.46029MR365173
  6. [6] S. Kochen: Ultraproducts in the theory of models, Annals of Math. Vol. 74 - n° 2- 1961- pp. 221-261. Zbl0132.24602MR138548
  7. [7] M. Krasner: Nombre des extensions d'un degré donné d'un corps p-adique, Colloque C.N.R.S. - Clermont-Ferrand- 1966 - pp. 143-169. Zbl0143.06403MR225756
  8. [8] W.A.J. Luxembourg: On a class of valuation fields introduced by A. ROBINSON, Israel Journal of Math. Vol. 35 -1976 - pp.189-201. Zbl0341.12106
  9. [9] A. Robinson: Functions theory on some non archimedean fields - Amer. Math., Monthly - Vol. 80-1973- pp. 87-109. Zbl0269.26020MR330126
  10. [10] J.P. Serre: Corps locaux A.S.I.1296 - Hermann -Paris - 1968. Zbl0423.12017MR354618
  11. [11] B. Diarra: Ultraproduits ultramétriques de corps valués, Groupe d'Etude d'Analyse Ultramétrique (Y. AMICE, G. CHRISTOL, P. ROBBA). 6e année,1978-79. Exposé 5 -11p. - Institut Henri Poincaré - Paris- 1980. Zbl0442.12025
  12. [12] U. Kiehne: Bounded products in the theory of valued fields, J. reine angew. Math.- t. 305 - n° 4 -1979 - pp. 9-36. Zbl0423.12022MR518846

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