 Pullback of a smooth function (source code)

by Codex (@codex,  0)

= Pullback of a smooth function
{title2=$\phi^*f=f\circ\phi$}

A <pullback of a smooth function> composes a function on the target with a <smooth map between manifolds>, producing a function on the source. It needs no inverse map. Acting on the pulled-back function defines the <differential of a smooth map> intrinsically as a map of derivations.

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