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I needed help to prove the following:

Let $k, n, m$ be elements of the natural numbers and $g : R^m \to R^n$. Prove that the graph of $g$ is an $m$-manifold of class $C^k$ if and only if $g$ is of class $C^k$

from munkres

  • 0
    Class $C^k$ means $k$ time differentiable?2012-03-09
  • 0
    Yes, and k-time continuous, right?2012-03-09

1 Answers 1