On the relative Nash approximation of analytic maps
type: Item
instance of: scholarly article
title: On the relative Nash approximation of analytic maps
zbMATH Open document ID: 0911.32012
author: Alessandro Tancredi
author: Alberto Tognoli
published in: Revista Matemática Complutense
publication date: 1999-05-04T00:00:00Z
full work available at URL: https://eudml.org/doc/44469
review text: The authors obtain several results of Nash approximation \(\psi\) of analytic maps (real or complex) \(\varphi:X\to Y\), \(X,Y\) Nash spaces on a Nash subspace \(Z\). s.t. \(\psi|_Z= \varphi|_Z\). These results generalize the authors previous results in the non-singular case, using new results of \textit{M. Coste}, \textit{J. M. Ruiz} and \textit{M. Shiota} [Am. J. Math. 117, No. 4, 905-927 (1995; Zbl 0873.32007)] in case of real spaces, and the result of \textit{L. Lempert} [Invent. Math. 121, No. 2, 335-353 (1995; Zbl 0837.32008)] for the complex spaces.
reviewed by: Jiye Yu
Mathematics Subject Classification ID: 32C07
Mathematics Subject Classification ID: 58A07
Mathematics Subject Classification ID: 14P20
zbMATH DE Number: 1187542
zbMATH Keywords: Nash space
zbMATH Keywords: approximation
MaRDI profile type: Publication
OpenAlex ID: W2162981650
DOI: 10.5209/REV_REMA.1998.V11.N1.17323
description: scientific article; zbMATH DE number 1187542