Positively n-expansive homeomorphisms and the L-shadowing property
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arXiv
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866914979129589760 |
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| author | Carvalho, Bernardo Cordeiro, Welington |
| author_facet | Carvalho, Bernardo Cordeiro, Welington |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1707_09357 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Positively n-expansive homeomorphisms and the L-shadowing property Carvalho, Bernardo Cordeiro, Welington Dynamical Systems 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. |
| title | Positively n-expansive homeomorphisms and the L-shadowing property |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/1707.09357 |