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| HAL : hal-00379917, version 1 |
| arXiv : 0904.4614 |
| Fiche détaillée |  Récupérer au format |
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| Compact generation for Lie groupoids |
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| Nicolas Raimbaud 1 |
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| (29/04/2009) |
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| Thirty years after the birth of foliations in the 1950's, André Haefliger has introduced a special property satisfied by holonomy pseudogroups of foliations on compact manifolds, called compact generation. Up to now, this is the only general property known about holonomy on compact manifolds. In this article, we give a Morita-invariant generalization of Haefliger's compact generation, from pseudogroups to object-separated Lie groupoids. |
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| 1 : | Laboratoire de Mathématiques Jean Leray (LMJL) |
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CNRS : UMR6629 – Université de Nantes – École Centrale de Nantes |
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| Domaine | : | Mathématiques/Topologie géométrique |
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| Foliation – Lie groupoid – Morita equivalence – Compact generation |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00379917, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00379917/fr/ | |
| oai:hal.archives-ouvertes.fr:hal-00379917 | |
| Contributeur : Nicolas Raimbaud | |
| Soumis le : Mercredi 29 Avril 2009, 15:27:29 | |
| Dernière modification le : Mercredi 29 Avril 2009, 16:03:37 | |
