Suppleness of the sheaf of algebras of generalized functions on manifolds

Details Suppleness of the sheaf of algebras of generalized functions on manifolds Suppleness of the sheaf of algebras of generalized functions on manifolds

2011-01-24

arxiv.org/abs/1101.4552v1

Mathematics

Functional Analysis

Scientific paper

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.

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