Question: If M C R n is an orientable (n - 1)-dimensional manifold, show that there is an open set A C Rn and a differentiable

If M C R n is an orientable (n - 1)-dimensional manifold, show that there is an open set A C Rn and a differentiable g: A→ R1 so that M = g-1 (0) and g1 (x) has rank 1 for x ЄM.

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