11 citations · 15 across the 13 of their papers we have counts for
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Topological rank does not increase by natural extension of Cantor minimals
Takashi Shimomura
Downarowicz and Maass (2008) have defined the topological rank for all Cantor minimal homeomorphisms. On the other hand, Gambaudo and Martens (2006) have expressed all Cantor minim…
Finite rank Bratteli--Vershik homeomorphisms are expansive
Takashi Shimomura
Downarowicz and Maass (2008) have shown that every Cantor minimal homeomorphism with finite topological rank is expansive. Bezuglyi, Kwiatkowski, and Medynets (2009) extend…
Bratteli--Vershik models and graph covering models
Takashi Shimomura
Based on our previous graph covering method, we introduce weighted graph covering models and flexible graph covering models that are almost equivalent to the well-known Bratteli--V…
Proximal Cantor systems with topological rank 2 are residually scrambled
Takashi Shimomura
Downarowicz and Maass (2008) proposed topological ranks for all homeomorphic Cantor minimal dynamical systems using properly ordered Bratteli diagrams. In this study, we adopt this…