Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Two foliations in the plane


Author: John M. Franks
Journal: Proc. Amer. Math. Soc. 58 (1976), 262-264
MSC: Primary 57D30
MathSciNet review: 0415634
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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] Zbigniew Nitecki, Differentiable dynamics. An introduction to the orbit structure of diffeomorphisms, The M.I.T. Press, Cambridge, Mass.-London, 1971. MR 0649788 (58 #31210)
  • [3] R. V. Plykin, Sources and sinks of 𝐴-diffeomorphisms of surfaces, Mat. Sb. (N.S.) 94(136) (1974), 243–264, 336 (Russian). MR 0356137 (50 #8608)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57D30

Retrieve articles in all journals with MSC: 57D30


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0415634-4
PII: S 0002-9939(1976)0415634-4
Article copyright: © Copyright 1976 American Mathematical Society