Inducible periodic homeomorphisms of tree-like continua

Author:
Juan A. Toledo

Journal:
Trans. Amer. Math. Soc. **282** (1984), 77-108

MSC:
Primary 54F20; Secondary 05C05, 54F15, 54F50, 54H15

MathSciNet review:
728704

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9947-1984-0728704-7

Keywords:
Tree-like continuum,
periodic homeomorphism,
inducible homeomorphism,
perfect homeomorphism,
conjugacy,
pseudo-arc

Article copyright:
© Copyright 1984
American Mathematical Society