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Question

Math 6510 • Differentiable Manifolds

Winter 2006 • Question 8

  1. State the tubular neighborhood theorem for a compact submanifold \(X\subset \mathbb {R}^n\).
  2. 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}