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Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Original Articles

Strong Expansive Homeomorphisms have no Almost Lyapunov Stable Points

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pp. 187–190Vol. 4Issue 2November 2006DOI: 10.1080/1726037X.2006.10698517XML
Received:
12 Apr 2005
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2006.10698517
Pages:
187–190

Abstract

Here, we obtain some result about strong expansive homeomorphisms on locally connected compact metric space X without any isolated point. In particular, we prove that strong expansive homeomorphisms have no almost Lyapunov stable point.

Keywords

References

  1. Hertz, J.R.preprint
  2. Kuratowski, K.1968 . , Warszawa: Academic Press-PWN-Polish Sci. Publishers .
  3. Lewowicz, J.1989 . Expansive homeomorphisms of surfaces . , 20
  4. Utz, W.R.1950 . Unstable homeomorphisms . , 1 : 769 – 774 .
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