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Two foliations in the plane


Author: John M. Franks
Journal: Proc. Amer. Math. Soc. 58 (1976), 262-264
MSC: Primary 57D30
DOI: https://doi.org/10.1090/S0002-9939-1976-0415634-4
MathSciNet review: 0415634
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Abstract: This note gives two examples of foliations of an open set in the plane: a $ {C^\infty }$ foliation with every leaf dense and a $ {C^1}$ foliation with an exceptional minimal set.


References [Enhancements On Off] (What's this?)

  • [1] G. Hector, Sur un théorème de structure des foliations de codimension un, Thesis, Univ. de Strasbourg, 1972.
  • [2] Z. Nitecki, Differentiable dynamics, M.I.T. Press, Cambridge, Mass., 1971. MR 0649788 (58:31210)
  • [3] R. V. Plykin, Sources and sinks of $ A$-diffeomorphisms of surfaces, Mat. Sb. 94 (136) (1974), 243-264 = Math. USSR Sb. 23 (1974), 233-253. MR 0356137 (50:8608)

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DOI: https://doi.org/10.1090/S0002-9939-1976-0415634-4
Article copyright: © Copyright 1976 American Mathematical Society

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