no. 1
Nash functions on noncompact Nash manifolds
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 33 (2000) no. 1, pp. 139-149 
@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},
     pages = {139--149},
     year = {2000},
     publisher = {Elsevier},
     volume = {Ser. 4, 33},
     number = {1},
     doi = {10.1016/s0012-9593(00)00106-3},
     mrnumber = {2002d:58001},
     zbl = {0981.14027},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/s0012-9593(00)00106-3/}
}
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Coste, Michel; Shiota, Masahiro. Nash functions on noncompact Nash manifolds. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 33 (2000) no. 1, pp. 139-149. doi: 10.1016/s0012-9593(00)00106-3

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

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

[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. | Zbl | MR

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

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