Critical-rank rigidity (I): at $r=k-1$, $B$ is a hole iff $(q_x)_{x\in B}$ is linearly independent (Erdős 624)

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Critical-rank rigidity (I): at $r=k-1$, $B$ is a hole iff $(q_x)_{x\in B}$ is linearly independent (Erdős 624) · Prove2Me