 Minimal dynamical system (source code)

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= Minimal dynamical system

A nonempty topological <dynamical system> $(Y,T)$ on a <compact Hausdorff space> is minimal if it has no proper nonempty closed forward-invariant <subset>. Equivalently, every forward <orbit> is dense in $Y$, because an <orbit closure> is closed and forward invariant. Minimality implies $T(Y)=Y$.

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