Gael Meigniez

  1. A compactly generated pseudogroup which is not realizable.

    Authors: Gael Meigniez
    Subjects: Geometric Topology
    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.

  2. A compactly generated pseudogroup which is not realizable.

    Authors: Gael Meigniez
    Subjects: Geometric Topology
    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.

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