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On the Degree of an Analytic Map Germ

Published online by Cambridge University Press:  20 November 2018

Zbigniew Duszak*
Affiliation:
Institute of Applied Mechanics Technical University, Kielce Poland
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Abstract

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Let ƒ = (ƒ1,… ,ƒn): (ℝn, 0) → (ℝn, 0) be a real analytic mapping and 0 is isolated in ƒ-1 (0). The aim of this paper is to describe the degree deg0ƒ in terms of parametrizations of irreducible components of the real analytic curve given by the equations ƒ1(x) = ̇̇̇= ƒn-1 (x) = 0 near 0 ∈ ℝn.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1992

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