Abstract:In this paper it is shown that homeomorphisms of hereditarily decomposable chainable continua cannot have periodic points whose periods are not powers of two. Examples show that for each power of two there is a hereditarily decomposable chainable continuum and a homeomorphism of it which has a periodic point of period that power of two.
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- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 549-553
- MSC: Primary 54F20
- DOI: https://doi.org/10.1090/S0002-9939-1989-0984796-1
- MathSciNet review: 984796