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Calculation of Lefschetz and Nielsen numbers in hyperspaces for fractals and dynamical systems |
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| Authors: | J. Andres M. Vä th |
| Affiliation: | Department of Mathematical Analysis, Faculty of Science, Palacky University, Tomkova 40, 779 00 Olomouc-Hejcín, Czech Republic ; Department of Mathematics, University of Würzburg, Am Hubland, D-97074 Würzburg, Germany |
| 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. |
| Keywords: | Multivalued fractal iterated function system hyperspace Lefschetz number Nielsen number ultimate range condensing map ANR |
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