Nash functions on noncompact Nash manifolds
Coste, Michel ; Shiota, Masahiro
Annales scientifiques de l'École Normale Supérieure, Tome 33 (2000), p. 139-149 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{ASENS_2000_4_33_1_139_0,
     author = {Coste, Michel and Shiota, Masahiro},
     title = {Nash functions on noncompact Nash manifolds},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {33},
     year = {2000},
     pages = {139-149},
     doi = {10.1016/s0012-9593(00)00106-3},
     mrnumber = {2002d:58001},
     zbl = {0981.14027},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_2000_4_33_1_139_0}
}

Coste, Michel; Shiota, Masahiro. Nash functions on noncompact Nash manifolds. Annales scientifiques de l'École Normale Supérieure, Tome 33 (2000) pp. 139-149. doi : 10.1016/s0012-9593(00)00106-3. http://gdmltest.u-ga.fr/item/ASENS_2000_4_33_1_139_0/

[1] J. Bochnak, M. Coste and M.-F. Roy, Real Algebraic Geometry, Springer, Berlin, 1998. | MR 2000a:14067 | Zbl 0912.14023

[2] M. Coste, J. Ruiz and M. Shiota, Approximation in compact Nash manifolds, Amer. J. Math. 117 (1995) 905-927. | MR 96f:32015 | Zbl 0873.32007

[3] M. Coste, J. Ruiz and M. Shiota, Separation, factorization and finite sheaves on Nash manifolds, Compositio Math. 103 (1996) 31-62. | Numdam | MR 97g:14039 | Zbl 0885.14029

[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. | MR 96i:14047 | Zbl 0844.14025

[5] M. Shiota, Nash Manifolds, Lecture Notes in Math., Vol. 1269, Springer, Berlin, 1987. | MR 89b:58011 | Zbl 0629.58002

[6] J.-C. Tougeron, Idéaux de Fonctions Différentiables, Springer, Berlin, 1972. | MR 55 #13472 | Zbl 0251.58001