Real Algebraic and Analytic Geometry Preprint Server

e-mail: , ,

Submission: 2002, October 25.

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.

Full text: pdf=http://www.mat.ucm.es/~jesusr/pdfs/Nsurv.pdf