Sheaf of smooth differential forms
= Sheaf of smooth differential forms
{title2=$\mathcal A^k$}
On a <smooth manifold>, $\mathcal A^k(U)$ is the space of smooth complex-valued degree-$k$ <differential forms> on $U$. Restriction of forms supplies the <sheaf> maps. Smooth <partitions of unity> make this a <fine sheaf>.