This is an exercise I need to solve but I am stuck at the "if" part of (b). I think I have to get some smooth charts, but since the elements of $C(N)$ and $C(M)$ are only real-valued functions, I can't find a way to get charts. Could anyone help me?
2026-03-25 07:39:00.1774424340
Showing a continuous function is smooth
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