Global problems on Nash functions
type: Item
instance of: scholarly article
title: Global problems on Nash functions
zbMATH Open document ID: 1056.14081
author: Michel Coste
author: Masahiro Shiota
author: Jesús M. Ruiz
published in: Revista Matemática Complutense
publication date: 2004-11-01T00:00:00Z
full work available at URL: https://eudml.org/doc/44533
review text: This is a rather substantial survey of the theory of Nash functions, which presents both the history and the recent developments. It treats the basic questions on separation, extension, Artin-Mazur description, idempotency and noetherianness in the Nash category. The authors discuss problems stated in specific situations, for example, Nash functions defined on real algebraic and Nash manifolds, as well as the most general formulations for Nash functions on real spectra of arbitrary commutative rings.
Mathematics Subject Classification ID: 14P20
Mathematics Subject Classification ID: 32C07
zbMATH DE Number: 2113557
zbMATH Keywords: étale morphism
zbMATH Keywords: cohomology
zbMATH Keywords: Cartan's theorems A and B
zbMATH Keywords: finite sheaf
zbMATH Keywords: semialgebraic topology
zbMATH Keywords: approximation theorem
zbMATH Keywords: real spectrum
reviewed by: Eugenii I. Shustin
MaRDI profile type: Publication
OpenAlex ID: W2122638893
DOI: 10.5209/REV_REMA.2004.V17.N1.16782
description: scientific article; zbMATH DE number 2113557