Inducible periodic homeomorphisms of tree-like continua

Toledo, Juan A.

doi:10.1090/S0002-9947-1984-0728704-7

Inducible periodic homeomorphisms of tree-like continua
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by Juan A. Toledo PDF

Trans. Amer. Math. Soc. 282 (1984), 77-108 Request permission

Abstract:

In this paper we prove that every periodic homeomorphism on a tree-like continuum can be strongly induced on an inverse sequence composed of a certain kind of graph that we call “bellows”. We introduce the concepts of “#-graph” of a periodic homeomorphism and of “perfect” homeomorphism. A theorem concerning the parallel inducing of two periodic homeomorphisms having orbit spaces with the same multiplicity structure is also proved. The results are related to conjugacy and to the pseudo-arc.

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