# An attraction result and an index theorem for continuous flows on ${\mathbb{R}}^{n}\times [0,\infty )$

Annales Polonici Mathematici (1997)

- Volume: 65, Issue: 3, page 203-211
- ISSN: 0066-2216

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topKlaudiusz Wójcik. "An attraction result and an index theorem for continuous flows on $ℝ^n × [0,∞)$." Annales Polonici Mathematici 65.3 (1997): 203-211. <http://eudml.org/doc/269989>.

@article{KlaudiuszWójcik1997,

abstract = {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 EE such that either α(x) or ω(x) is in S. We also prove an index theorem for a flow on $ℝ^n × [0,∞)$.},

author = {Klaudiusz Wójcik},

journal = {Annales Polonici Mathematici},

keywords = {Conley index; fixed point index; permanence},

language = {eng},

number = {3},

pages = {203-211},

title = {An attraction result and an index theorem for continuous flows on $ℝ^n × [0,∞)$},

url = {http://eudml.org/doc/269989},

volume = {65},

year = {1997},

}

TY - JOUR

AU - Klaudiusz Wójcik

TI - An attraction result and an index theorem for continuous flows on $ℝ^n × [0,∞)$

JO - Annales Polonici Mathematici

PY - 1997

VL - 65

IS - 3

SP - 203

EP - 211

AB - 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 EE such that either α(x) or ω(x) is in S. We also prove an index theorem for a flow on $ℝ^n × [0,∞)$.

LA - eng

KW - Conley index; fixed point index; permanence

UR - http://eudml.org/doc/269989

ER -

## References

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