The simplicity of certain groups of homeomorphisms
The notion of the “volume" of a leaf in a foliated space is defined. If is a compact leaf, then any leaf entering a small neighbourhood of either has a very large volume, or a volume which is approximatively an integral multiple of the volume of . If all leaves are compact there are three related objects to study. Firstly the topology of the quotient space obtained by identifying each leaf to a point ; secondly the holonomy of a leaf ; and thirdly whether the leaves have a locally bounded volume....
Page 1