reference to sheet 11
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@ -1,5 +1,4 @@
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\subsection{The Ellis semigroup}
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% TODO ANKI-MARKER
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\lecture{17}{2023-12-12}{The Ellis semigroup}
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Let $(X, d)$ be a compact metric space
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@ -75,7 +74,7 @@ Properties of $(X,T)$ translate to properties of $E(X,T)$:
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\]
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\end{claim}
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\begin{subproof}
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\todo{Homework}
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Cf.~\yaref{s11e1}
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\end{subproof}
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Let $g \in G$.
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@ -163,6 +162,8 @@ But it is interesting for other semigroups.
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\todo{The other direction is left as an easy exercise.}
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\end{proof}
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% TODO ANKI-MARKER
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Let $(X,T)$ be a flow.
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Then by Zorn's lemma, there exists $X_0 \subseteq X$
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such that $(X_0, T)$ is minimal.
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