Calculation of Lefschetz and Nielsen numbers in hyperspaces for fractals and dynamical systems
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- by J. Andres and M. Väth PDF
- Proc. Amer. Math. Soc. 135 (2007), 479-487 Request permission
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.References
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Additional Information
- J. Andres
- Affiliation: Department of Mathematical Analysis, Faculty of Science, Palacký University, Tomkova 40, 779 00 Olomouc-Hejčín, Czech Republic
- MR Author ID: 222871
- Email: andres@inf.upol.cz
- M. Väth
- Affiliation: Department of Mathematics, University of Würzburg, Am Hubland, D-97074 Würzburg, Germany
- Address at time of publication: Freie Universität Berlin, Fachbereich Mathematik und Informatik (WE1), Sekretariat Prof. B. Fiedler, Arnimallee 2-6, 14195 Berlin, Germany
- Email: vaeth@mathematik.uni-wuerzburg.de
- Received by editor(s): March 24, 2005
- Received by editor(s) in revised form: September 20, 2005
- Published electronically: August 10, 2006
- Additional Notes: The first author was supported by the Council of Czech Government (MSM 6198959214)
This paper was written while the second author was a Heisenberg fellow of the DFG (Az. VA 206/1-1
) and invited by the University of Olomouc. Financial support by the DFG is gratefully acknowledged.
- Communicated by: Carmen C. Chicone
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 479-487
- MSC (2000): Primary 37B99; Secondary 47H04, 47H09, 47H10, 54H25
- DOI: https://doi.org/10.1090/S0002-9939-06-08505-4
- MathSciNet review: 2255294