Nash functions on noncompact Nash manifolds

Michel Coste; Masahiro Shiota

Annales scientifiques de l'École Normale Supérieure (2000)

  • Volume: 33, Issue: 1, page 139-149
  • ISSN: 0012-9593

How to cite

top

Coste, Michel, and Shiota, Masahiro. "Nash functions on noncompact Nash manifolds." Annales scientifiques de l'École Normale Supérieure 33.1 (2000): 139-149. <http://eudml.org/doc/82507>.

@article{Coste2000,
author = {Coste, Michel, Shiota, Masahiro},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Cartan's theorem B; affine Nash manifold; Cartan's theorem A; factorization conjecture},
language = {eng},
number = {1},
pages = {139-149},
publisher = {Elsevier},
title = {Nash functions on noncompact Nash manifolds},
url = {http://eudml.org/doc/82507},
volume = {33},
year = {2000},
}

TY - JOUR
AU - Coste, Michel
AU - Shiota, Masahiro
TI - Nash functions on noncompact Nash manifolds
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2000
PB - Elsevier
VL - 33
IS - 1
SP - 139
EP - 149
LA - eng
KW - Cartan's theorem B; affine Nash manifold; Cartan's theorem A; factorization conjecture
UR - http://eudml.org/doc/82507
ER -

References

top
  1. [1] J. BOCHNAK, M. COSTE and M.-F. ROY, Real Algebraic Geometry, Springer, Berlin, 1998. Zbl0912.14023MR2000a:14067
  2. [2] M. COSTE, J. RUIZ and M. SHIOTA, Approximation in compact Nash manifolds, Amer. J. Math. 117 (1995) 905-927. Zbl0873.32007MR96f:32015
  3. [3] M. COSTE, J. RUIZ and M. SHIOTA, Separation, factorization and finite sheaves on Nash manifolds, Compositio Math. 103 (1996) 31-62. Zbl0885.14029MR97g:14039
  4. [4] M. COSTE and M. SHIOTA, Thom's first isotopy lemma : semialgebraic version, with uniform bound, in : F. Broglia, ed., Real Analytic and Algebraic Geometry, De Gruyter, 1995, pp. 83-101. Zbl0844.14025MR96i:14047
  5. [5] M. SHIOTA, Nash Manifolds, Lecture Notes in Math., Vol. 1269, Springer, Berlin, 1987. Zbl0629.58002MR89b:58011
  6. [6] J.-C. TOUGERON, Idéaux de Fonctions Différentiables, Springer, Berlin, 1972. Zbl0251.58001MR55 #13472

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.