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Let $M$ be a real submanifold of an almost complex manifold $(\overline{M},\overline{J})$ and let $H_x=T_{x}M\cap \overline{J}\left(T_{x}M\right)$ be the maximal holomorphic subspace, for each $x\in M$. We prove that $cM\to \mathbb{N}$, $c\left(x\right)={dim}_{ℝ}{H}_x$ is upper-semicontinuous.