Periodic points for homeomorphisms of hereditarily decomposable chainable continua

Ingram, W. T.

doi:10.1090/S0002-9939-1989-0984796-1

Periodic points for homeomorphisms of hereditarily decomposable chainable continua
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Proc. Amer. Math. Soc. 107 (1989), 549-553 Request permission

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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