Not finitely but countably Hopf-equivalent clopen sets in a Cantor minimal system

Hisatoshi Yuasa

DOI: http://dx.doi.org/10.12775/TMNA.2009.024

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.

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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