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Cohomology of chain recurrent sets

Published online by Cambridge University Press:  19 September 2008

Morris W. Hirsch  and
Charles C. Pugh
Morris W. Hirsch
Affiliation:
Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720, USA
Charles C. Pugh
Affiliation:
Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720, USA
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Abstract

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Let ϕ be a flow on a compact metric space Λ and let p ∈ Λ be chain recurrent. We show that (Λ; ℝ) ≠ 0 if dimp Λ = 1 or if p belongs to a section of ϕ. Applications to planar flows and to smooth flows are given.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 8 , Issue 1 , March 1988 , pp. 73 - 80
Copyright
Copyright © Cambridge University Press 1988

References

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