Open Access
October, 2010 A compactly generated pseudogroup which is not realizable
Gaël MEIGNIEZ
J. Math. Soc. Japan 62(4): 1205-1218 (October, 2010). DOI: 10.2969/jmsj/06241205

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.

Citation

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Gaël MEIGNIEZ. "A compactly generated pseudogroup which is not realizable." J. Math. Soc. Japan 62 (4) 1205 - 1218, October, 2010. https://doi.org/10.2969/jmsj/06241205

Information

Published: October, 2010
First available in Project Euclid: 2 November 2010

zbMATH: 1207.57038
MathSciNet: MR2761919
Digital Object Identifier: 10.2969/jmsj/06241205

Subjects:
Primary: 57R30

Keywords: compact generation , Foliation , pseudogroup

Rights: Copyright © 2010 Mathematical Society of Japan

Vol.62 • No. 4 • October, 2010
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