Basic Properties of Real Analytic and Semianalytic Germs

Jesùs M. Ruiz

Publications mathématiques et informatique de Rennes (1986)

  • Volume: 1986, Issue: 4, page 29-51

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Ruiz, Jesùs M.. "Basic Properties of Real Analytic and Semianalytic Germs." Publications mathématiques et informatique de Rennes 1986.4 (1986): 29-51. <http://eudml.org/doc/273906>.

@article{Ruiz1986,
author = {Ruiz, Jesùs M.},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {real analytic germs; semianalytic germs},
language = {eng},
number = {4},
pages = {29-51},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Basic Properties of Real Analytic and Semianalytic Germs},
url = {http://eudml.org/doc/273906},
volume = {1986},
year = {1986},
}

TY - JOUR
AU - Ruiz, Jesùs M.
TI - Basic Properties of Real Analytic and Semianalytic Germs
JO - Publications mathématiques et informatique de Rennes
PY - 1986
PB - Département de Mathématiques et Informatique, Université de Rennes
VL - 1986
IS - 4
SP - 29
EP - 51
LA - eng
KW - real analytic germs; semianalytic germs
UR - http://eudml.org/doc/273906
ER -

References

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  1. [CR] Coste, M. ; Roy, M.F. : La topologie de I'espectre réel, in Contemporary Math. v. 8AMS1981. Zbl0485.14007
  2. [FR] Fernández, F. ; Recio, T. : Paper to appear. 
  3. [H] Houdebine, J. : Lemme de séparation, preprint Univ. Rennes, 1980. 
  4. [LS] Lassalle, G. : Sur le théoreme des zéros differentiables, in Lecture Notes535, Springer1975. Zbl0365.58008MR473220
  5. [L] Lojasiewicz, S.: Ensembles semianalytiques, Lecture Note1965 at I.H.E.S., Bures-sur-Yvette, reproduit n°A66765, Ecole Polytechnique, Paris. 
  6. [M] Malgrange, B. : Ideals of differentlable functions, Tata Institute of Fundamental Research, Bombay, Oxford Univ. Press, 1966. Zbl0177.17902
  7. [McE] McEnerney, J. : Trim stratification of semianalytic sets, Manuscripta Math.25 (1978) 17-46. Zbl0402.32005MR492360
  8. [Mn] Merrien, J. : Un théorème des zéros pour les idéaux de séries formelles à coefficients réels, C.R.Ac.Sc.Paris276 A (1973) 1055-1059. Zbl0252.14001MR316429
  9. [N] Narasimhan, R. : Introduction to the theory of analytic spaces, Lecture Notes25, Springer1966. Zbl0168.06003MR217337
  10. [R] Risler, J.J. : Le théorème des zéros en géometries algébrique et analytique réelles. Bull. Soc. Math. France104 (1976) 113-127. Zbl0328.14001MR417167
  11. [Rz] Ruiz, J. : Central orderings in fields of real meromorphic function germs. Manuscripta Math.46 (1984) 193-214. Zbl0538.14018MR735520
  12. [St] Stengle, G. : A Nullstellensatz and a Positivestellensatz in semialgebraic geometry, Math. Ann.207 (1974) 87-97. Zbl0253.14001MR332747
  13. [T] Tougeron, J.C. : Idéaux de fonctions differentiables. Ergebonisse der math.71, Springer, 1972. Zbl0251.58001MR440598

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