On a factorization of homeomorphisms of the circle possessing periodic points
- Zdun, Marek Cezary
DOIAbstract
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
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