Orbit projections of proper Lie groupoids as fibrations
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 3, pp. 591-594
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
Let $\mathcal{G} \rightrightarrows M$ be a source locally trivial proper Lie groupoid such that each orbit is of finite type. The orbit projection $M \to M/\mathcal{G}$ is a fibration if and only if $\mathcal{G}\rightrightarrows M$ is regular.
Let $\mathcal{G} \rightrightarrows M$ be a source locally trivial proper Lie groupoid such that each orbit is of finite type. The orbit projection $M \to M/\mathcal{G}$ is a fibration if and only if $\mathcal{G}\rightrightarrows M$ is regular.
Classification :
22A22, 55R05, 55R65
Keywords: orbit projection; proper Lie groupoid; fibration
Keywords: orbit projection; proper Lie groupoid; fibration
@article{CMJ_2009_59_3_a2,
author = {Rainer, Armin},
title = {Orbit projections of proper {Lie} groupoids as fibrations},
journal = {Czechoslovak Mathematical Journal},
pages = {591--594},
year = {2009},
volume = {59},
number = {3},
mrnumber = {2545642},
zbl = {1224.22005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2009_59_3_a2/}
}
Rainer, Armin. Orbit projections of proper Lie groupoids as fibrations. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 3, pp. 591-594. http://geodesic.mathdoc.fr/item/CMJ_2009_59_3_a2/