Global Theory

Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 156)

Abstract

Comparable to the importance of the Implicit Function Theorem for the local analysis is the degree of a mapping for any global analysis. Although the theory was originally invented and defined in topology we present an analytical theory developed later. For finite-dimensional continuous mappings it is the Brouwer degree; its extension to infinite dimensions is the Leray–Schauder degree.

Keywords

Manifold Cylin 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Institut für MathematikUniversität AugsburgAugsburgGermany

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