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On closed subgroups of the group of homeomorphisms of a manifold
[Sur les sous-groupes du groupe des homéomorphismes d’une variété]
Frédéric Le Roux1
1 Institut de Mathématiques de Jussieu-Paris Rive Gauche, Université Pierre et Marie Curie 4, place Jussieu, Case 247, 75252 Paris Cedex 5, France
Journal de l’École polytechnique — Mathématiques, Tome 1 (2014), pp. 147-159.

Soit M une variété triangulable compacte. Nous montrons que, parmi les sous-groupes de Homeo 0 (M) (composante connexe de l’identité du groupe des homéomorphismes de M), le sous-groupe des homéomorphismes préservant le volume est maximal.

Let M be a triangulable compact manifold. We prove that, among closed subgroups of Homeo 0 (M) (the identity component of the group of homeomorphisms of M), the subgroup consisting of volume preserving elements is maximal.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/jep.7
Classification : 57S05, 57M60, 37E30
Keywords: Transformation groups, homeomorphisms, maximal closed subgroups
Mot clés : Groupes de transformations, homéomorphismes, sous-groupes fermés maximaux
Frédéric Le Roux 1

1 Institut de Mathématiques de Jussieu-Paris Rive Gauche, Université Pierre et Marie Curie 4, place Jussieu, Case 247, 75252 Paris Cedex 5, France
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {On closed subgroups of the group of homeomorphisms of a manifold},
     journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques},
     pages = {147--159},
     publisher = {\'Ecole polytechnique},
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Frédéric Le Roux. On closed subgroups of the group of homeomorphisms of a manifold. Journal de l’École polytechnique — Mathématiques, Tome 1 (2014), pp. 147-159. doi : 10.5802/jep.7. https://jep.centre-mersenne.org/articles/10.5802/jep.7/

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