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
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