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Let (X, d) be a compact metric space, and let $f:X{\rightarrow}X$ be a continuous map. We consider that if a positively continuum-wise expansiveness continuous map f has the positively shadowing property in the nonwandering set, then the topological entropy is positive.
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참고문헌 (4)
참고문헌 신청
A. Artigue / 2015 / A note on measure-expansive diffeomor-phisms / J. Math. Anal. Appl 428:713~716
H. Kato / 1993 / Continuum-wise expansive homeomorphisms / Canad. J. Math 45:576~598
C. A. Morales / 1409 / Entropy, pseudo-orbit tracing property and positively expansive measure
T. K. S. Moothathu / 2011 / Implications of pseudo-orbit tracing property for continu-ous maps on compacta / Topol. Appl 158:2232~2239
H. Kato / 1993 / Continuum-wise expansive homeomorphisms / Canad. J. Math 45:576~598
C. A. Morales / 1409 / Entropy, pseudo-orbit tracing property and positively expansive measure
T. K. S. Moothathu / 2011 / Implications of pseudo-orbit tracing property for continu-ous maps on compacta / Topol. Appl 158:2232~2239
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