Copied State the tubular neighborhood theorem for a compact submanifold \(X\subset \mathbb {R}^n\). Give an outline of the proof with details of the step that shows that the constructed map is a diffeomorphism. Raw LaTeX \begin{enumerate} \item State the tubular neighborhood theorem for a compact submanifold \(X\subset\mathbb{R}^n\). \item Give an outline of the proof with details of the step that shows that the constructed map is a diffeomorphism. \end{enumerate} Topic Tags Diffeomorphisms and Isotopy Methods Smooth Manifolds and Embedded Submanifolds