Calculation of Lefschetz and Nielsen numbers in hyperspaces for fractals and dynamical systems-Reference-Cited by-同舟云学术

Calculation of Lefschetz and Nielsen numbers in hyperspaces for fractals and dynamical systems

Published:2006-08-10 Issue:2 Volume:135 Page:479-487
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Andres J.,Väth M.

Abstract

A simple argument is given as to why it is always trivial to calculate Lefschetz and Nielsen numbers for iterated function systems or dynamical systems in hyperspaces. The problem is reduced to a simple combinatorical situation on a finite set.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-02/S0002-9939-06-08505-4/S0002-9939-06-08505-4.pdf

Reference17 articles.

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4. Multivalued fractals;Andres, Jan;Chaos Solitons Fractals,2005

5. Topological Fixed Point Theory and Its Applications;Andres, Jan,2003

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