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arXiv · 1707.09357

Positively n-expansive homeomorphisms and the L-shadowing property

Bernardo Carvalho·Welington Cordeiro
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Abstract

We discuss further the dynamics of n-expansive homeomorphisms with the shadowing property, started in [7]. The L-shadowing property is defined and the dynamics of n-expansive homeomorphisms with such property is explored. In particular, we prove that positively n-expansive homeomorphisms with the L-shadowing property can only be defined in finite metric spaces.

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Bernardo Carvalho, Welington Cordeiro. 2017-07-28. Positively n-expansive homeomorphisms and the L-shadowing property. https://doi.org/10.1007/s10884-018-9698-3

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