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On the growth of the number of periodic points for smooth self-maps of a compact manifold |
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| Authors: | Grzegorz Graff Jerzy Jezierski |
| Affiliation: | Faculty of Applied Physics and Mathematics, Gdansk University of Technology, Narutowicza 11/12, 80-952 Gdansk, Poland ; Institute of Applications of Mathematics, Warsaw University of Life Sciences (SGGW), Nowoursynowska 159, 00-757 Warsaw, Poland |
| Abstract: | Let  be a continuous self-map of a smooth compact connected and simply-connected manifold of dimension  . We show that in the homotopy class of  there is a  map with less then  periodic points, up to any given fixed period  . |
| Keywords: | Periodic points $C^1$ maps indices of iterations Nielsen number. |
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