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Let $X\in C^1(U)$, with $U$ open set in $\mathbb{R}^{n}$. If every singularity of $X$ is hyperbolic, show that $Sing(X)$ (the set of singularities of $X$) is a discrete set.
2026-03-28 17:05:33.1774717533
$Sing(X)$ is a discrete set
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