By Carlo Petronio

Those notes originate from a seminar held in Pisa in November and December 1996 together by way of Riccardo Benedetti, Paolo Lisca and me. the purpose of those notes is to provide a close evidence of the next end result because of Eliashberg and Thurston: THM permit M be a closed orientated 3-manifold and enable F be a cooriented C2-smooth codimension-1 foliation on M. imagine that (M,F) isn't diffeomorphic to the product foliation on S2xS1. Then arbitrarily with reference to F within the C0 topology there exist a good and a adverse C\infty touch constitution.

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