General theorem for the existence of iterative roots of homeomorphisms with periodic points

DOI10.1016/j.jmaa.2012.03.048zbMath1261.39026OpenAlexW2055547564MaRDI QIDQ439275

Paweł Solarz

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.048

zbMATH Keywords

iterationunit circlerotation numberperiodic pointiterative rootorientation-preserving mapping

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12)

Related Items (4)

Some remarks on the general theorem of the existence of iterative roots of homeomorphisms with a rational rotation number ⋮ A note on iterated maps of the unit sphere ⋮ Unnamed Item ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case

Cites Work

• On conjugacy of homeomorphisms of the circle possessing periodic points
• On a factorization of homeomorphisms of the circle possessing periodic points
• Some remarks on the general theorem of the existence of iterative roots of homeomorphisms with a rational rotation number
• On some properties of orientation-preserving surjections on the circle
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