Algebraicity versus analyticity
type: Item
instance of: scholarly article
title: Algebraicity versus analyticity
zbMATH Open document ID: 0568.32005
DOI: 10.1216/RMJ-1984-14-4-863
author: Jacek Bochnak
published in: Rocky Mountain Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: This is a survey paper about the following two very connected topics: the equivalence between: (a) analytic and algebraic sets; and (b) analytic and algebraic functions (i.e. polynomials, Nash functions). It deals with both local and global theory. Especially the important contribution of the author and his collaborators is recorded. See: the author and \textit{W. Kucharz}, J. Reine Angew. Math. 352, 1-14 (1984; Zbl 0558.32002) and the author, \textit{W. Kucharz} and \textit{M. Shiota}, Invent. Math. 70, 115-156 (1982; Zbl 0502.32021)].
Mathematics Subject Classification ID: 32C05
Mathematics Subject Classification ID: 14Pxx
Mathematics Subject Classification ID: 58A07
Mathematics Subject Classification ID: 32B10
zbMATH DE Number: 3906856
zbMATH Keywords: coherent analytic germs
zbMATH Keywords: analytic sets
zbMATH Keywords: weakly finitely determined germs
zbMATH Keywords: algebraic sets
zbMATH Keywords: polynomials
zbMATH Keywords: Nash functions
MaRDI profile type: Publication
full work available at URL: rmj-1984-14-4-863
OpenAlex ID: W2046345968
description: scientific article; zbMATH DE number 3906856