A topological result for non-Hausdorff spaces is proved and used to obtain a non-equivalence theorem for pseudogroups of local transformations. This theorem is applied to the holonomy pseudogroup of foliations.
@article{bwmeta1.element.bwnjournal-article-apmv56z2p187bwm, author = {Jes\'us A. Alvarez L\'opez}, title = {A type of non-equivalent pseudogroups. Application to foliations}, journal = {Annales Polonici Mathematici}, volume = {57}, year = {1992}, pages = {187-194}, zbl = {0762.57019}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv56z2p187bwm} }
Jesús A. Alvarez López. A type of non-equivalent pseudogroups. Application to foliations. Annales Polonici Mathematici, Tome 57 (1992) pp. 187-194. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv56z2p187bwm/
[000] [H1] A. Haefliger, Groupoédes d'holonomie et classifiants, in: Structures Transverses des Feuilletages, Toulouse 1982, Astérisque 116 (1984), 70-97.
[001] [H2] A. Haefliger, Pseudogroups of local isometries, in: Differential Geometry, Res. Notes in Math. 131, Pitman, 1985, 174-197.
[002] [H3] A. Haefliger, Leaf closures in Riemannian foliations, in: A Fête of Topology, Academic Press, Boston, Mass., 1988, 3-32.
[003] [HR] A. Haefliger et G. Reeb, Variétés (non séparées) à une dimension et structures feuilletées du plan, Enseign. Math. 3 (1957), 107-125. | Zbl 0079.17101
[004] [M] P. Molino, Géométrie globale des feuilletages riemanniens, Nederl. Akad. Wetensch. Indag. Math. 44 (1982), 45-76. | Zbl 0516.57016
[005] [W] H. E. Winkelnkemper, The graph of a foliation, Ann. Global Anal. Geom. 1 (3) (1983), 51-75. | Zbl 0526.53039