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In this note we show that for every measurable function on $\mathbb{R}^n$ theset of points where the blowup exists and is not constant is$(n-1)$-rectifiable. In particular, for every $u\in L^1_{loc}(\mathbb{R}^n)$the jump set $J_u$ is $(n-1)$-rectifiable.

Rectifiability of the jump set of locally integrable functions