A Characterization of the Morse Minimal Set up to Topological Conjugacy
Ethan M. Coven, Michael Keane, and Michelle LeMasurier
TL;DR
This paper characterizes when a dynamical system is topologically conjugate to the Morse minimal set or the Toeplitz minimal set, providing precise conditions for such conjugacies.
Contribution
It offers necessary and sufficient conditions for topological conjugacy to the Morse and Toeplitz minimal sets, advancing understanding of their structure.
Findings
Provides criteria for conjugacy to Morse minimal set.
Establishes conditions for conjugacy to Toeplitz minimal set.
Clarifies the structure of systems topologically equivalent to these minimal sets.
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, and conditions for topological conjugacy to the closely related Teoplitz minimal set.
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