Foliations, locally Lie groupoids and holonomy

Ronald Brown; Osman Mucuk

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1996)

  • Volume: 37, Issue: 1, page 61-71
  • ISSN: 1245-530X

How to cite

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Brown, Ronald, and Mucuk, Osman. "Foliations, locally Lie groupoids and holonomy." Cahiers de Topologie et Géométrie Différentielle Catégoriques 37.1 (1996): 61-71. <http://eudml.org/doc/91573>.

@article{Brown1996,
author = {Brown, Ronald, Mucuk, Osman},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Lie groupoids; Lie algebroids; foliation; paracompact manifold},
language = {eng},
number = {1},
pages = {61-71},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Foliations, locally Lie groupoids and holonomy},
url = {http://eudml.org/doc/91573},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Brown, Ronald
AU - Mucuk, Osman
TI - Foliations, locally Lie groupoids and holonomy
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1996
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 37
IS - 1
SP - 61
EP - 71
LA - eng
KW - Lie groupoids; Lie algebroids; foliation; paracompact manifold
UR - http://eudml.org/doc/91573
ER -

References

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  1. [1] Aof, M.E.-S.A.-F. AND Brown, R., The holonomy groupoid of a locally topological groupoid, Top. Appl.47, 1992, 97-113. Zbl0855.22007MR1193193
  2. [2] Brown, R. AND Mucuk, O., The monodromy groupoid of a Lie groupoid, Cah. Top. Géom. Diff. Cat.xx (1996) . Zbl0844.22006MR1367591
  3. [3] Ehresmann, C., Catégories topologiques et catégories différentiables, Coll. Géom. Diff. Glob. Bruxelles, 1959, 137-150, "Oeuvres complètes et commentées: Amiens, 1980-84" . Zbl0205.28202MR116360
  4. [4] Mackenzie, K.C.H., Lie groupoids and Lie algebroids in differential geometry, London Math. Soc. Lecture Note Series 124, Cambridge University Press, 1987. Zbl0683.53029MR896907
  5. [5] Mackenzie, K.C.H., Lie algebroids and Lie pseudoalgebras, Bull. London Math. Soc.27 (1995) 97-147. Zbl0829.22001MR1325261
  6. [6] Mucuk, O., Covering groups of non-connected topological groups and the monodromy groupoid of a topological groupoid, PhD Thesis, University of Wales, 1993. 
  7. [7] Phillips, J., The holonomic imperative and the homotopy groupoid of a foliated manifold, Rocky Mountain J. Math., 17 (1987) 151-165. Zbl0641.57011MR882895
  8. [8] Pradines, J., Théoric de Lie pour les groupoides différentiables, relation entre propriétés locales et globales, Comptes Rendus Acad. Sci. Paris, Sér A, 263 (1966), 907-910. Zbl0147.41102MR214103
  9. [9] Pradines, J., Private communication, 1982. 
  10. [10] Rosenthal, K., Sheaves and local equivalence relations, Cah. Top. Géom. Diff. Cat., 25 (1984) 179-206. Zbl0559.18006MR767684
  11. [11] Tamura, I., Topology of foliations: an introduction, Transl. Math. Monogphs. 97, American Math. Soc., Rhode Island, 1992. Zbl0742.57001MR1151624

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