A compactly generated pseudogroup which is not realizable
MEIGNIEZ, Gaël
J. Math. Soc. Japan, Tome 62 (2010) no. 1, p. 1205-1218 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2010-10-15
Classification:  foliation,  pseudogroup,  compact generation,  57R30 
@article{1288703102,
     author = {MEIGNIEZ, Ga\"el},
     title = {A compactly generated pseudogroup which is not realizable},
     journal = {J. Math. Soc. Japan},
     volume = {62},
     number = {1},
     year = {2010},
     pages = { 1205-1218},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1288703102}
}

MEIGNIEZ, Gaël. A compactly generated pseudogroup which is not realizable. J. Math. Soc. Japan, Tome 62 (2010) no. 1, pp.  1205-1218. http://gdmltest.u-ga.fr/item/1288703102/