TY - JOUR AU - Coste, Michel AU - Ruiz, Jesús M. PY - 2004/06/04 Y2 - 2024/03/28 TI - Global Problems on Nash Functions. JF - Revista Matemática Complutense JA - Rev. mat. complut. VL - 17 IS - 1 SE - Artículos DO - 10.5209/rev_REMA.2004.v17.n1.16782 UR - https://revistas.ucm.es/index.php/REMA/article/view/REMA0404120083A SP - 83 - 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. ER -