A type of non-equivalent pseudogroups. Application to foliations

• Autorzy: Jesús A. Alvarez López
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

pseudogroup; foliation; holonomy

Kategorie tematyczne

• 57R30: Foliations; geometric theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991-1992
• Tom: 56
• Numer: 2
• Strony: 187-194

Daty

wydano

1992

otrzymano

1990-12-04

poprawiono

1991-04-22

Twórcy

autor

Jesús A. Alvarez López

• Universidade de Santiago de Compostela, Departamento de Xeometría E Topoloxía, Colexio Universitario de Lugo, 27071 Lugo, Spain

Bibliografia

• [H1] A. Haefliger, Groupoédes d'holonomie et classifiants, in: Structures Transverses des Feuilletages, Toulouse 1982, Astérisque 116 (1984), 70-97.
• [H2] A. Haefliger, Pseudogroups of local isometries, in: Differential Geometry, Res. Notes in Math. 131, Pitman, 1985, 174-197.
• [H3] A. Haefliger, Leaf closures in Riemannian foliations, in: A Fête of Topology, Academic Press, Boston, Mass., 1988, 3-32.
• [HR] A. Haefliger et G. Reeb, Variétés (non séparées) à une dimension et structures feuilletées du plan, Enseign. Math. 3 (1957), 107-125.
• [M] P. Molino, Géométrie globale des feuilletages riemanniens, Nederl. Akad. Wetensch. Indag. Math. 44 (1982), 45-76.
• [W] H. E. Winkelnkemper, The graph of a foliation, Ann. Global Anal. Geom. 1 (3) (1983), 51-75.