Exercise · ZW-SMOOTH-FUNCTION-003 · ★☆☆ Basic
Which symbol denotes the set of smooth functions from \(M\) to \(N\)?
Choose one option.
Show answer
- D. \(C^{\infty}(M,N)\)
Explanation
The set of smooth functions from \(M\) to \(N\) is \(C^{\infty}(M,N)\). \(C^{0}\) denotes only continuous functions.
Review the concept: Smooth function
A smooth function is a function between spaces with differentiable structure that, written in local coordinates, has derivatives of all orders.
\[f\in C^{\infty}(M,N)\]
More practice problems: smooth function
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