A compactly generated pseudogroup which is not realizable
arXiv:0909.1019
Abstract
We exhibit a pseudogroup of smooth local transformations of the real line which is compactly generated, but not realizable as the holonomy pseudogroup of a foliation of codimension 1 on a compact manifold. The proof relies on a description of all foliations with the same dynamic as the Reeb component.
A corrigendum has been added to the paper. An argument in Section 3 is changed. The results are not changed