Reflexivity of the space of transversal distributions

Abstract

We show that the Fréchet space ${\mathcal{C}}^{\infty }(P)$ of smooth functions on the total space of a surjective submersion $\pi :P\to M$ is a reflexive ${\mathcal{C}}_c^{\infty }(M)$-module.

References in corpus (1)

• Convolution bialgebra of a Lie groupoid and transversal distributions

Cited by in corpus (1)

• Locally convex bialgebroid of an action Lie groupoid