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.

Bibliographic Details
Main Author:	Paweł Solarz
Format:	Article
Language:	deu
Published:	Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2007-06-01
Series:	Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:	http://studmath.up.krakow.pl/index.php/studmath/article/view/56

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spelling	doaj-9f91cab76fd94e6eae39779a94f2cf442020-11-24T23:09:17ZdeuWydawnictwo Naukowe Uniwersytetu PedagogicznegoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica 2081-545X2007-06-01617793Iterative roots of homeomorphisms possessing periodic pointsPaweł SolarzIn 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.http://studmath.up.krakow.pl/index.php/studmath/article/view/56
collection	DOAJ
language	deu
format	Article
sources	DOAJ
author	Paweł Solarz
spellingShingle	Paweł Solarz Iterative roots of homeomorphisms possessing periodic points Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
author_facet	Paweł Solarz
author_sort	Paweł Solarz
title	Iterative roots of homeomorphisms possessing periodic points
title_short	Iterative roots of homeomorphisms possessing periodic points
title_full	Iterative roots of homeomorphisms possessing periodic points
title_fullStr	Iterative roots of homeomorphisms possessing periodic points
title_full_unstemmed	Iterative roots of homeomorphisms possessing periodic points
title_sort	iterative roots of homeomorphisms possessing periodic points
publisher	Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
series	Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
issn	2081-545X
publishDate	2007-06-01
description	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.
url	http://studmath.up.krakow.pl/index.php/studmath/article/view/56
work_keys_str_mv	AT pawełsolarz iterativerootsofhomeomorphismspossessingperiodicpoints
_version_	1725610654414405632

Iterative roots of homeomorphisms possessing periodic points

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