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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Continued fractals and the Seifert conjecture

Author(s): Jenny Harrison
Journal: Bull. Amer. Math. Soc. 13 (1985), 147-153.
MSC (1980): Primary 58F25, 34C35, 10K10
MathSciNet review: 799799
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References | Similar articles | Additional information

References:

[AR] R. Abraham and J. Robbin, Transversal mappings and flows, Benjamin, New York, 1967. MR 240836

[Ah] L. V. Ahlfors, Lectures on quasi-conformal mappings, Van Nostrand, Princeton, N.J., 1966. MR 200442

[D] A. Denjoy, Sur les courbes definies par les équations differentielles à la surface du tore, J. Math. Pures Appl. 11 (1932), 333-375.

[Ha] G. R. Hall, A C, Ergodic Theory and Dynamical Systems, Vol. 1 (1981), 261-272. MR 662469

[H1] J. Harrison, Denjoy fractals, (preprint). MR 991099

[H2] J. Harrison, C, (preprint).

[H3] J. Harrison, Opening closed leaves of foliations, Bulletin LMS, 1982. MR 697120

[H4] J. Harrison, Topological transitivity for Ahlfors quasi-circles, (preprint).

[H5] J. Harrison, Bounded distortion and an n-dimensional Denjoy Theorem (in preparation).

[H6] J. Harrison, Diophantine type and the Denjoy-Koksma inequality, (in preparation).

[HN1] J. Harrison and A. Norton, An improved sampling procedure for the uniform distribution of na, (preprint).

[HN2] J. Harrison and A. Norton, Denjoy quasi-circles in R with Hausdorff dimension n ― ε (in preparation).

[HY] J. Harrison and J. A. Yorke, Vector fields on S3 and R3 without periodic-points, Proc. Simposio Internac. de Sistemas Dinamicos, Springer Lecture Notes.

[Ht] D. Hart, On the smoothness of generators, Topology 22 (1983), 357-363. MR 710109

[He] M. Herman, Contre-exemples de Denjoy et contre-exemples de classe C, (preprint).

[Kh] A. Khintchine, Continued fractions, translated by P. Wynn (1963) Groningen, Nordhoff. MR 161834

[Kn] R. J. Knill, A C3 with a Denjoy minimal set, J. Differential Geom. 16 (1981), 271-280. MR 638792

[KN] L. Kuipers and H. Niederreiter, Uniform distribution of sequences, Wiley, New York, 1974. MR 419394

[M] J. Mather, Existence of quasi-periodic orbits for twist homeomorphisms of the annulus, (preprint).

[N] A. Norton, A critical set with non-null image has large Hausdorff dimension, (preprint).

[P] C. Pugh, The Closing Lemma, Amer. J. Math. 89 (1967), 956-1021. MR 226669

[Sch] P. Schweitzer, Counterexamples to the Seifert conjecture and opening closed leaves of foliations, Ann. of Math. (2) 100 (1971), 386-400. MR 356086

[Sei] H. Seifert, Closed integral curves in 3-space and isotopic two-dimensional deformations, Proc. Amer. Math. Soc. 1 (1950), 287-302. MR 37508

[W] H. Whitney, Analytic extensions of differentiable functions defined on closed sets, Trans. Amer. Math. Soc. 36 (1934), 369-387. MR 1501749


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Additional Information:

DOI: 10.1090/S0273-0979-1985-15400-X
PII: S 0273-0979(1985)15400-X




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