Not finitely but countably Hopf-equivalent clopen sets in a Cantor minimal system
Abstract
We investigate topological Hopf-equivalences in the Morse substitution system.
In particular, we give an example of not finitely but countably
Hopf-equivalent clopen sets
in a Cantor minimal system.
In particular, we give an example of not finitely but countably
Hopf-equivalent clopen sets
in a Cantor minimal system.
Keywords
Finite Hopf-equivalence; countable Hopf-equivalence; Morse substitution system; properly ordered Bratteli diagram; Vershik map; cofinal relation; finite coordinate change relation
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