Nash functions on noncompact Nash manifolds

Authors
Coste, M Shiota, M
Citation
M. Coste et M. Shiota, Nash functions on noncompact Nash manifolds, ANN SCI EC, 33(1), 2000, pp. 139-149
Citations number
6
Categorie Soggetti
Mathematics
Journal title
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE
ISSN journal
00129593 → ACNP
Volume
33
Issue
1
Year of publication
2000
Pages
139 - 149
Database
ISI
SICI code
0012-9593(200001/02)33:1<139:NFONNM>2.0.ZU;2-M
Abstract
Several conjectures concerning Nash functions (including the conjecture tha t globally irreducible Nash sets are globally analytically irreducible) wer e proved in Coste et al. (1995) for compact affine Nash manifolds. We prove these conjectures for all affine Nash manifolds. (C) 2000 Editions scienti fiques et medicales Elsevier SAS.