Title:
|
On the integration theorem for Lie groupoids (English) |
Author:
|
Kock, Anders |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
39 |
Issue:
|
3 |
Year:
|
1989 |
Pages:
|
423-431 |
. |
Category:
|
math |
. |
MSC:
|
20L05 |
MSC:
|
53C99 |
MSC:
|
58A99 |
MSC:
|
58H05 |
idZBL:
|
Zbl 0706.51014 |
idMR:
|
MR1006307 |
DOI:
|
10.21136/CMJ.1989.102313 |
. |
Date available:
|
2008-06-09T15:27:49Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102313 |
. |
Reference:
|
[1] E. Dubuc, A. Kock: Communications in Algebra.12 (1984), 1471- 1531. MR 0744457, 10.1080/00927878408823064 |
Reference:
|
[2] C. Ehresmann: Les connexions infinitésimales dans un espace fibré différentiable.in Colloque de Topologie Bruxelles 1950. MR 0042768 |
Reference:
|
[3] A. Kock: Synthetic Differential Geometry.London Math. Society Lecture Notes Series 51, Cambridge University Press 1981. Zbl 0487.18006, MR 0649622 |
Reference:
|
[4] A. Kock: Differential forms with values in groups.Bull. Austral. Math. Soc. 25 (1982), 357-386. Zbl 0484.58005, MR 0671484, 10.1017/S0004972700005426 |
Reference:
|
[5] A. Kock: A combinatorial theory of connections.in Mathematical Applications of Category Theory, Contemporary Mathematics Vol. 30 (1984). Zbl 0542.18007, MR 0749772, 10.1090/conm/030/749772 |
Reference:
|
[6] A. Kock: Ehresmann and the fundamental structures of differential geometry seen from a synthetic viewpoint.in C. Ehresmann, Oeuvres Vol. I, Amiens 1984. |
Reference:
|
[7] A. Kock: Combinatorics of non-holonomous jets.Czechoslovak Mathematical Journal 35 (110) 1985, 419-428. Zbl 0594.18010, MR 0803037 |
Reference:
|
[8] A. Kock: Combinatorial notions relating to principal fibre bundles.Journ. Pure Appl. Algebra 39 (1986), 141-151. Zbl 0575.18005, MR 0816895, 10.1016/0022-4049(86)90141-6 |
Reference:
|
[9] A. Kock: Lie group valued integration in well adapted toposes.Austral. Math. Soc. 34 (1986), 395-410. Zbl 0596.18006, MR 0866187, 10.1017/S0004972700010285 |
Reference:
|
[10] B. Malgrange: Equations de Lie.I, Journ. Diff. Geom. 6 (1972), 503-522. MR 0326784, 10.4310/jdg/1214430640 |
Reference:
|
[11] J. Pradines: Théorie de Lie pour les groupoides différentiables.in Atti del Convegno Intern. di Geom. Diff. Bologna 1967. Zbl 0154.21704 |
Reference:
|
[12] N. V. Quê: Sur les espaces de prolongement différentiable.J. Diff. Geom. 2 (1968), 33-40. 10.4310/jdg/1214501135 |
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