Global Problems on Nash Functions.

  • Michel Coste
  • Jesús M. Ruiz
Palabras clave: Nash function, étale morphism, cohomology, Cartan’s theorems A and B, finite sheaf, semialgebraic topology, approximation theorem, real spectrum,


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.


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Cómo citar
Coste, M., & Ruiz, J. M. (2004). Global Problems on Nash Functions. Revista Matemática Complutense, 17(1), 83 - 115.