Artin-Lang property for analytic manifolds of dimension two
type: Item
instance of: scholarly article
title: Artin-Lang property for analytic manifolds of dimension two
zbMATH Open document ID: 0832.32005
DOI: 10.1007/BF02571930
author: Ana Castilla
published in: Mathematische Zeitschrift
publication date: 1994-12-21T00:00:00Z
full work available at URL: https://eudml.org/doc/174676
review text: Let \(M\) be a two-dimensional paracompact real connected analytic manifold, let \({\mathcal O} (M)\) be the ring of analytic functions on \(M\) and let \(K\) be its quotient field. The author proves the so-called Artin-Lang property: Let \(f_1, \ldots, f_r \in {\mathcal O} (M)\). Then there is an ordering \(\beta\) in \(K\) in which they are simultaneously positive if and only if there exists a point \(x \in M\) such that \(f_1(x) > 0, \ldots, f_r(x) > 0\).
reviewed by: Vasile Brînzănescu
Mathematics Subject Classification ID: 32B20
Mathematics Subject Classification ID: 32C05
Mathematics Subject Classification ID: 14P15
zbMATH DE Number: 704934
zbMATH Keywords: real analytic manifold
zbMATH Keywords: semianalytic subsets
zbMATH Keywords: Artin-Lang property
MaRDI profile type: Publication
cites work: Q3977551
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description: scientific article; zbMATH DE number 704934