Geodesic
An attraction result and an index theorem for continuous flows on $ℝ^n × [0,∞)$
Annales Polonici Mathematici, Tome 65 (1996) no. 3, pp. 203-211

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the behavior of a continuous flow near a boundary. We prove that if φ is a flow on $E = ℝ^{n+1}$ for which $∂E = ℝ^n × {0}$ is an invariant set and S ⊂ ∂E is an isolated invariant set, with non-zero homological Conley index, then there exists an x in E\∂E such that either α(x) or ω(x) is in S. We also prove an index theorem for a flow on $ℝ^n × [0,∞)$.
DOI : 10.4064/ap-65-3-203-211
Keywords: Conley index, fixed point index, permanence

Klaudiusz Wójcik 1

1 
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Klaudiusz Wójcik. An attraction result and an index theorem for continuous flows on $ℝ^n × [0,∞)$. Annales Polonici Mathematici, Tome 65 (1996) no. 3, pp. 203-211. doi: 10.4064/ap-65-3-203-211

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