TY  - JOUR
AU  - Coste, M.
AU  - Ruiz Sancho, Jesús María
AU  - Shiota, Masahiro
PY  - 2001
DO  - 10.1515/crll.2001.056
SN  - 0075-4102
UR  - https://hdl.handle.net/20.500.14352/57889
T2  - Journal fur die Reine und Angewandte Mathematik
AB  - We show that the complexity of semialgebraic sets and mappings can be used to parametrize Nash sets and mappings by Nash families. From this we deduce uniform bounds on the complexity of Nash functions that lead to first-order descriptions of many...
LA  - eng
M2  - 209
PB  - Walter de Gruyter & co
KW  - Nash functions
KW  - real spectrum
KW  - manifolds
KW  - affine Nash manifold
KW  - complexity of Nash functions
KW  - Tarski-Seidenberg principle
KW  - separation problem
TI  - Uniform bounds on complexity and transfer of global properties of Nash functions
TY  - journal article
VL  - 536
ER  -