Let $f(x),\,x\in[0,1]$ be the Weierstrass function. For an arbitrary $y\in(0,1)$, what are the properties of the of the level sets, $R(y):=\{x\big| f(x)=y\}$? I suppose it is infinite. How do we prove it? Are there any other properties?
2026-05-15 23:48:45.1778888925
Level-Sets of the Weierstrass function
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