Mixing homeomorphisms and indecomposability

In this paper we show that if h:X→X is a mixing homeomorphism on a G-like continuum, then X must be indecomposable and if X is finitely cyclic, then X must be 1n-indecomposable for some natural number n. Furthermore, we give an example of a mixing homeomorphism on a hereditary decomposable tree-like...

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Bibliographic Details
Published in:Topology and its applications 2019-03, Vol.254, p.50-58
Main Authors: Martínez-de-la-Vega, Verónica, Martínez-Montejano, Jorge M., Mouron, Christopher
Format: Article
Language:English
Subjects:
[formula omitted]-indecomposable
G-like continuum
Mixing homeomorphism
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Summary:In this paper we show that if h:X→X is a mixing homeomorphism on a G-like continuum, then X must be indecomposable and if X is finitely cyclic, then X must be 1n-indecomposable for some natural number n. Furthermore, we give an example of a mixing homeomorphism on a hereditary decomposable tree-like continuum.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2018.12.012