On entire rational maps in real algebraic geometry
type: Item
instance of: scholarly article
title: On entire rational maps in real algebraic geometry
zbMATH Open document ID: 0869.14024
author: Yildiray Ozan
published in: Michigan Mathematical Journal
publication date: 1997-09-02T00:00:00Z
review text: This paper is devoted to entire rational mapping in real algebraic geometry. Several results are proved, particularly an extension of a result of Bochnak and Kucharz stating that for \(X\) being any \(k\)-dimensional non-singular real algebraic set any entire rational map from \(X\) \(S^{2n-k}\) to \(S^{2n}\) is null homotopic. Here \(S^{2n}\) (the standard sphere) is replaced by any non-singular real algebraically variety homeomorphic to \(S^{2n}\). The methods of proof are rather elementary.
Mathematics Subject Classification ID: 14P25
zbMATH DE Number: 784588
zbMATH Keywords: entire rational mapping
zbMATH Keywords: real algebraic geometry
reviewed by: Marie-Françoise Roy
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029005159
OpenAlex ID: W2064225273
DOI: 10.1307/MMJ/1029005159
description: scientific article; zbMATH DE number 784588