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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Entropy and knots


Authors: John Franks and R. F. Williams
Journal: Trans. Amer. Math. Soc. 291 (1985), 241-253
MSC: Primary 58F22; Secondary 58F11, 58F15
MathSciNet review: 797057
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Abstract: We show that a smooth flow on $ {S^3}$ with positive topological entropy must possess periodic closed orbits in infinitely many different knot type equivalence classes.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0797057-1
PII: S 0002-9947(1985)0797057-1
Article copyright: © Copyright 1985 American Mathematical Society