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@@ -20,7 +20,8 @@ $$
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Fact: $\Gamma_{\alpha}$ is closed and nowhere dense.
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Proof:
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<details>
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<summary>Proof</summary>
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Without loss of generality, we can assume $f=0$. Given any $\alpha > 0$, $\exists N$ such that
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@@ -70,5 +71,5 @@ This implies $\ell(P_2)\leq \frac{\alpha}{4B}$.
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Continue on Friday.
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QED
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</details>
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