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A Simple Approach to Brouwer Degree Based on Differential Forms

Jean Mawhin

Abstract

We present Heinz’ approach to Brouwer degree in a simpler, shorter and better motivated way. We link it to Kronecker index, use the language of differential forms at an elementary level, and prove the homotopy invariance using an unpublished result of Tartar.

Received: 2004-8-13
Published Online: 2016-3-10
Published in Print: 2004-11-1

© 2016 by Advanced Nonlinear Studies, Inc.