Two foliations in the plane
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- by John M. Franks PDF
- Proc. Amer. Math. Soc. 58 (1976), 262-264 Request permission
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
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G. Hector, Sur un théorème de structure des foliations de codimension un, Thesis, Univ. de Strasbourg, 1972.
- Zbigniew Nitecki, Differentiable dynamics. An introduction to the orbit structure of diffeomorphisms, The M.I.T. Press, Cambridge, Mass.-London, 1971. MR 0649788
- R. V. Plykin, Sources and sinks of $\textrm {A}$-diffeomorphisms of surfaces, Mat. Sb. (N.S.) 94(136) (1974), 243–264, 336 (Russian). MR 0356137
Additional Information
- © Copyright 1976 American Mathematical Society
- 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