Suppleness of the sheaf of algebras of generalized functions on manifolds

Abstract

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 the non-suppleness of the sheaf of distributions.

References in corpus (3)

• The use of Generalised Functions and Distributions in General Relativity
• On the foundations of nonlinear generalized functions I
• Generalised Connections and Curvature