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On the topological degree of real polynomial vector fields

Published online by Cambridge University Press:  18 May 2009

Zbigniew Szafraniec
Zbigniew Szafraniec
Affiliation:
University of Gdańsk, Institute of Mathematics, 80–952 Gdańsk, Wita Stwosza 57, Poland e-mail: szafran@ksinet.univ.gda.pl
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Let G: Rn → Rn be a continuous mapping such that the origin 0 ∈ Rn is isolated in G-1(0). Then deg0G will denote the local topological degree of G at the origin, i.e. the topological degree of the mapping

where Sr denotes a sphere in Rn centered at the origin with small radius r > 0.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 38 , Issue 2 , May 1996 , pp. 221 - 231
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

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