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Non-singular Smale flows on three-dimensional manifolds and Whitehead torsion

Published online by Cambridge University Press:  24 November 2009

XUEZHI ZHAO
XUEZHI ZHAO*
Affiliation:
Department of Mathematics & Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing 100048, P. R. China (email: [email protected])
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Abstract

This paper deals with non-singular Smale flows on oriented 3-manifolds. We shall show a relation between the properties of invariant sets of a Smale flow and a kind of Whitehead torsion of the underlying manifold.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 1 , February 2011 , pp. 301 - 315
Copyright
Copyright © Cambridge University Press 2009

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