A remark on Thurston's stability theorem
Richard Sacksteder (1975)
Annales de l'institut Fourier
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The author gives an example showing that Thurston’s stability theorem cannot be generalized to non-oriented foliations.
Displaying similar documents to “Reeb stability for nonsingular foliations derived from that for singular ones”
A remark on Thurston's stability theorem
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CONTENTSIntroduction...........................................................................................51. Preliminaries.....................................................................................62. Chains along a curve......................................................................143. Some topological properties of foliations with singularities..............224. Holonomy group of a leaf................................................................235. A stability...
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We consider transversely affine foliations without compact leaves of higher genus surface bundles over the circle of pseudo-Anosov type such that the Euler classes of the tangent bundles of the foliations coincide with that of the bundle foliation. We classify such foliations of those surface bundles whose monodromies satisfy a certain condition.