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September 2006 Periodicity of a sequence of local fixed point indices of iterations
Grzegorz Graff, Piotr Nowak-Przygodzki
Osaka J. Math. 43(3): 485-495 (September 2006).

Abstract

The classical theorem of Shub and Sullivan states that a sequence of local fixed point indices of iterations of a $C^1$ self-map of $\mathbb{R}^m$ is periodic. The paper generalizes this result to a wider class of maps.

Citation

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Grzegorz Graff. Piotr Nowak-Przygodzki. "Periodicity of a sequence of local fixed point indices of iterations." Osaka J. Math. 43 (3) 485 - 495, September 2006.

Information

Published: September 2006
First available in Project Euclid: 25 September 2006

zbMATH: 1105.37015
MathSciNet: MR2283406

Subjects:
Primary: 37C25
Secondary: 37B30

Rights: Copyright © 2006 Osaka University and Osaka City University, Departments of Mathematics

Vol.43 • No. 3 • September 2006
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