Iterative roots of some homeomorphisms with a rational rotation number

• Autores: Pawel Solarz
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 72, Nº. 1-2, 2006, págs. 152-171
• Idioma: inglés
• DOI: 10.1007/s00010-006-2838-6
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• Resumen

  • Let F be an orientation-preserving homeomorphism of the circle onto itself having a finite and nonempty set of periodic points. The aim of this paper is to give necessary and sufficient conditions for the existence of orientation-preserving iterative roots of F and the general construction of these roots.