Global problems on Nash functions.

Coste, Michel, Ruiz, Jesús M., and Shiota, Masahiro. "Global problems on Nash functions.." Revista Matemática Complutense 17.1 (2004): 83-115. <http://eudml.org/doc/44533>.

@article{Coste2004,
abstract = {This is a survey on the history of and the solutions to the basic global problems on Nash functions, which have been only recently solved, namely: separation, extension, global equations, Artin-Mazur description and idempotency, also noetherianness. We discuss all of them in the various possible contexts, from manifolds over the reals to real spectra of arbitrary commutative rings.},
author = {Coste, Michel, Ruiz, Jesús M., Shiota, Masahiro},
journal = {Revista Matemática Complutense},
keywords = {Funciones de Nash; étale morphism; cohomology; Cartan's theorems A and B; finite sheaf; semialgebraic topology; approximation theorem; real spectrum},
language = {eng},
number = {1},
pages = {83-115},
title = {Global problems on Nash functions.},
url = {http://eudml.org/doc/44533},
volume = {17},
year = {2004},
}

TY - JOUR
AU - Coste, Michel
AU - Ruiz, Jesús M.
AU - Shiota, Masahiro
TI - Global problems on Nash functions.
JO - Revista Matemática Complutense
PY - 2004
VL - 17
IS - 1
SP - 83
EP - 115
AB - This is a survey on the history of and the solutions to the basic global problems on Nash functions, which have been only recently solved, namely: separation, extension, global equations, Artin-Mazur description and idempotency, also noetherianness. We discuss all of them in the various possible contexts, from manifolds over the reals to real spectra of arbitrary commutative rings.
LA - eng
KW - Funciones de Nash; étale morphism; cohomology; Cartan's theorems A and B; finite sheaf; semialgebraic topology; approximation theorem; real spectrum
UR - http://eudml.org/doc/44533
ER -