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The exact region between Chatterjee's $ξ$ and Blomqvist's $β$
We determine the exact region of Chatterjee's rank correlation $ξ$ and Blomqvist's $β$, that is, the set of all pairs $(ξ(C),β(C))$ where $C$ ranges over all bivariate copulas. The region equals $\{(x,y)\in[0,1]\times[-1,1]:|y|^3\le2x\}$, so every copula satisfies the sharp inequality $|β(C)|^3\le2ξ
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