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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
    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
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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