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Hyperbolic flows are topologically stable

Published online by Cambridge University Press:  17 April 2009

Sung Kyu Choi
Affiliation:
Department of Mathematics, Chungnam National University Taejon, 305–764, Korea
Jong Suh Park
Affiliation:
Department of Mathematics, Chungnam National University Taejon, 305–764, Korea
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Abstract

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We show that any hyperbolic flow (X, π) on a metric space X is topologically stable by showing that it is expansive and has the chain-tracing property.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

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