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prabau authored Mar 7, 2025
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Fix $\theta\in[0,1]\setminus\mathbb Q$.
Define a map on $X$ by the forumla:
Define a map on $X$ by the formula:
$f_\theta(x)=\begin{cases}\frac{x}{2}&\text{for }x<\theta,\\
\frac{x+1}{2}&\text{for }x>\theta,\end{cases}\ x\in X$.

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