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Jan 2, 2022 at 9:48 comment added Fedor Petrov I doubt that it suffices. Assume that $|f(x)-f(y)|$ behaves as $|x-y|^a$ for small $a$ and consider pairs of $x,y$ with distance about $\varepsilon$
Jan 2, 2022 at 4:26 history edited Michael Hardy CC BY-SA 4.0
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Jan 1, 2022 at 12:37 history edited Riku CC BY-SA 4.0
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Dec 31, 2021 at 22:05 history asked Riku CC BY-SA 4.0