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A compactly generated pseudogroup which is not realizable

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 نشر من قبل Gael Meigniez
 تاريخ النشر 2009
  مجال البحث
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 تأليف Gael Meigniez




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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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