Suppleness of the sheaf of algebras of generalized functions on manifolds

Stevan Pilipovic, Milica Zigic

We show that the sheaves of algebras of generalized functions $\Omega \to \mathcal{G}(\Omega )$ and $\Omega \to {\mathcal{G}}^{\infty }(\Omega )$, $\Omega$ are open sets in a manifold $X$, are supple, contrary to…