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In this paper, we show that if a continuum-wise expansive homeomorphism on a compact connected metric space is shadowing then it is topologically stable. This generalizes the main result of [4].
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참고문헌 (4)
참고문헌 신청
A. Artigue / A note on measure-expansive diffeomor-phisms / preprint
J. R. Hertz / There are no stable points for continuum-wise expansive homeo-morphisms / preprint
H. Kato / 1993 / Continuum-wise expansive homeomorphisms / Canad. J. Math 45(3):576~598
P. Walters / 1977 / On the pseudo orbits tracing property and its relationship to sta-bility / Lecture Notes in Math 668:231~244
J. R. Hertz / There are no stable points for continuum-wise expansive homeo-morphisms / preprint
H. Kato / 1993 / Continuum-wise expansive homeomorphisms / Canad. J. Math 45(3):576~598
P. Walters / 1977 / On the pseudo orbits tracing property and its relationship to sta-bility / Lecture Notes in Math 668:231~244
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