Positively n-expansive homeomorphisms and the L-shadowing property
Dynamical Systems
2024-10-22 v2
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.
Keywords
Cite
@article{arxiv.1707.09357,
title = {Positively n-expansive homeomorphisms and the L-shadowing property},
author = {Bernardo Carvalho and Welington Cordeiro},
journal= {arXiv preprint arXiv:1707.09357},
year = {2024}
}
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13 pages