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Original Articles
Strong Expansive Homeomorphisms have no Almost Lyapunov Stable Points
A. Fakharifakhari@dubs.ac.irDepartment of Mathematics and Computer SciencesDamghan University of Basic SciencesP.O. Box 36715.364, Damghan, IranView full profile → , F. H. Ghaneghane@math.um.ac.irDepartment of MathematicsFerdowsi University of MashhadP.O. Box 1159–91775, Mashhad, IranView full profile →
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- 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
- Hertz, J.R.preprint
- Kuratowski, K.1968 . , Warszawa: Academic Press-PWN-Polish Sci. Publishers .
- Lewowicz, J.1989 . Expansive homeomorphisms of surfaces . , 20
- Utz, W.R.1950 . Unstable homeomorphisms . , 1 : 769 – 774 .
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