Japanese journal of mathematics. New series
Online ISSN : 1861-3624
Print ISSN : 0289-2316
On homology directions for flows
Plácido ANDRADE
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1991 Volume 17 Issue 1 Pages 1-9

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Abstract
Let φ be a C1 flow without fixed points on a closed manifold. We show that generically a small C0ö perturbation of φ does not modify the homology directions. We determine these directions for a C0 open dense set of flows and examine the explosion of them. To do this we introduce the notion of homotopy direction for φ.
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