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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*
Affiliation:
Department of Mathematics & Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing 100048, P. R. China (email: zhaoxve@mail.cnu.edu.cn)

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
Copyright
Copyright © Cambridge University Press 2009

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