Iterative roots of homeomorphisms possessing periodic points
In this paper we give necessary and sufficient conditions for the existence of orientation-preserving iterative roots of a homeomorphism with a nonempty set of periodic points. We also give a construction method for these roots.
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| Format: | Article |
| Language: | deu |
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Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
2007-06-01
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| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| Online Access: | http://studmath.up.krakow.pl/index.php/studmath/article/view/56 |
| Summary: | In this paper we give necessary and sufficient conditions for the existence of orientation-preserving iterative roots of a homeomorphism with a nonempty set of periodic points. We also give a construction method for these roots. |
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| ISSN: | 2081-545X |