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A characterization of the Morse minimal set up to topological conjugacy

Published online by Cambridge University Press:  01 October 2008

ETHAN M. COVEN ,
MICHAEL KEANE  and
MICHELLE LEMASURIER
ETHAN M. COVEN
Affiliation:
Department of Mathematics, Wesleyan University, Middletown, CT 06459, USA (email: ecoven@wesleyan.edu, mkeane@wesleyan.edu)
MICHAEL KEANE
Affiliation:
Department of Mathematics, Wesleyan University, Middletown, CT 06459, USA (email: ecoven@wesleyan.edu, mkeane@wesleyan.edu)
MICHELLE LEMASURIER
Affiliation:
Department of Mathematics, Hamilton College, Clinton, NY 13323, USA (email: mlemasur@hamilton.edu)
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Abstract

We establish necessary and sufficient conditions for a dynamical system to be topologically conjugate to the Morse minimal set, the shift orbit closure of the Morse sequence. Conditions for topological conjugacy to the closely related Toeplitz minimal set are also derived.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 5 , October 2008 , pp. 1443 - 1451
Copyright
Copyright © 2008 Cambridge University Press

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References

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