Local and nice structures of the groupoid of an equivalence relation

 Access to full text

 Full (PDF)

1. [A-B] Aof M. Brown R., The holonomy groupoid of a locally topological groupoid, Topol. Appl., 47 (1992), 97-113. Zbl0855.22007MR1193193
2. [B-M1] Brown R., Mucuk O., The monodromy groupoid of a Lie groupoid, Cah. Top. Géom. Diff. Cat.36(1996), 345-369. Zbl0844.22006MR1367591
3. [B-M2] —, Foliations, locally groupoids and holonomy, Cah. Top. Géom. Diff. Cat.37(1996), 61-71. Zbl0868.22001MR1383447
4. [C-F] Crainic M., Fernandes R.L., Integrability of Lie brackets, Ann. Math.157(2003), 575-620. Zbl1037.22003MR1973056
5. [D] Dieudonne J., Treatise on analysis, Vol.IV, Academic Press, New York and London, 1974. Zbl0292.58001MR362066
6. [H-H] Hector G. and Hirsh U., Introduction to the Geometry of Foliations, Part A, Braunschweig1981. Zbl0486.57002
7. [K-K] Kowalczyk A., Kubarski J., A local property of the subspaces of Euclidean differential spaces, Dem. Math. Vol. 11, No 4, 1978, p.876-885. Zbl0406.58004MR529631
8. [K1] Kubarski J., On Lie groupoids and Lie algebroids, (in Polish), Ph.D. thesis, Lodz, 1977. 
9. [K2] —, Some generalization of Godement's theorem on division, Proceeding of the Winter School on Geometry and Physics, Srni, 10-17 January, 1987, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II - numero 16 - 1987, 119-124. Zbl0655.57020
10. [K3] —, Pradines-type groupoids, Proceeding of the Winter School on Geometry and Physics, Srni, 10-17 January, 1987, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II - numero 16 - 1987, 125-143. MR946719
11. [P] Pradines J., Théorie 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
12. [R1] Rybicki T.On foliated, Poisson and Hamiltonian diffeomorphisms, Diff. Geom. Appl.15(2001), 33-46. Zbl0988.22010MR1845174
13. [R2] —,A Lie group structure on strict groups, preprint ESI n. 1076 (2001); Publ. Matem. Debrecen61(2002), 533-548. Zbl1062.22039MR1943713
14. [S1] Sikorski R., Abstract covariant derivative, Coll.Math.18, 1967, p.251-272. Zbl0162.25101MR222799
15. [S2] —, Differential modules, Coll.Math.24, 1971, p.45- 79. Zbl0226.53004MR482794
16. [T] Tamura I., Topology of foliations: an introduction, Transl. Math. Monographs.97, American Math. Soc., Rhode Island, 1992. Zbl0742.57001MR1151624
17. [W1] Walczak P.A theorem on diffeomorphism in the category of differential spaces, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astron. Phys., 21. 1973, p. 325-329. Zbl0258.58001MR317348
18. [W2] —, On a class of differential spaces satisfying the theorem on diffeomrphism, I, II, ibidem, 22, 1974, p.805-820. MR372900