On a factorization of homeomorphisms of the circle possessing periodic points
- Zdun, Marek Cezary
Publication date
June 2008
DOI Publisher
Elsevier Inc. ISSN
0022-247X Citation count (estimate)
3Abstract
AbstractWe prove that for every orientation-preserving homeomorphism F:S1→S1 possessing periodic points of order n there exist a homeomorphism T:S1→S1 such that Tn=id and a homeomorphism G:S1→S1 without periodic points except fixed points such thatF=Tq○G for an integer 1⩽q<n relatively prime with n. We apply this result to determine all continuous iterative roots of homeomorphisms of the circle which have periodic points
Add to ORKG