### Minimal closed sets and maximal closed sets.

Nakaoka, Fumie, Oda, Nobuyuki (2006)

International Journal of Mathematics and Mathematical Sciences

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Nakaoka, Fumie, Oda, Nobuyuki (2006)

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Necessary conditions are found for a Cantor subset of the circle to be minimal for some ${C}^{1}$-diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.