Topological degree and quadratic forms
type: Item
instance of: scholarly article
title: Topological degree and quadratic forms
zbMATH Open document ID: 0949.14035
DOI: 10.1016/S0022-4049(98)00055-3
author: Zbigniew Szafraniec
published in: Journal of Pure and Applied Algebra
publication date: 2000-12-03T00:00:00Z
review text: The author gives explicit expressions for the topological degree and its parity for polynomial mappings of \({\mathbb R}^n\to {\mathbb R}^n\) or, more generally, between real algebraic \(n\)-dimensional varieties via signatures of quadratic forms over real polynomial local algebras. The proofs are essentially based on the Eisenbud-Levine formula [\textit{D. Eisenbud} and \textit{H. I. Levine}, Ann. Math. (2) 106, 19-44 (1977; Zbl 0398.57020)].
Mathematics Subject Classification ID: 14P25
Mathematics Subject Classification ID: 11E10
zbMATH DE Number: 1340441
zbMATH Keywords: real polynomial mapping
zbMATH Keywords: topological degree
zbMATH Keywords: signature of a quadratic form
zbMATH Keywords: real algebraic varieties
reviewed by: Eugenii I. Shustin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1340441