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On commutators of foliation preserving homeomorphisms. (English) Zbl 0928.57034

The authors compute the first homologies of the group of foliation preserving homeomorphisms for codimension one foliations. They show that the group for the Reeb foliation on the 3-sphere is perfect and the groups for irrational linear foliations on the torus are not perfect.

MSC:

57R30 Foliations in differential topology; geometric theory
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