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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Braiding minimal sets of vector fields


Author: Maxime Lagrange
Journal: Proc. Amer. Math. Soc. 130 (2002), 3619-3629
MSC (2000): Primary 37Cxx, 57Mxx
Published electronically: May 1, 2002
MathSciNet review: 1920042
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Abstract: We extend a classical but fundamental theorem of knot and braid theories to describe the geometry of nonsingular minimal sets of 3-dimensional flows.


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Additional Information

Maxime Lagrange
Affiliation: Laboratoire de Topologie, Université de Bourgogne, UMR CNRS 5584, B.P. 47870 21078, Dijon Cedex, France
Email: lagrange@topolog.u-bourgogne.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06585-1
PII: S 0002-9939(02)06585-1
Keywords: Dynamical systems, knot theory, minimal sets
Received by editor(s): July 13, 2001
Published electronically: May 1, 2002
Communicated by: Michael Handel
Article copyright: © Copyright 2002 American Mathematical Society