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- W4287552007 abstract "In this paper we study local stable/unstable sets of sensitive homeomorphisms with the shadowing property defined on compact metric spaces. We prove that local stable/unstable sets always contain a compact and perfect subset of the space. As a corollary we generalize results in [6] and [11] proving that positively countably expansive homeomorphisms defined on compact metric spaces satisfying either transitivity and the shadowing property, or the L-shadowing property, can only be defined in countably spaces." @default.
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- W4287552007 date "2020-12-16" @default.
- W4287552007 modified "2023-09-26" @default.
- W4287552007 title "Sensitivity, local stable/unstable sets and shadowing" @default.
- W4287552007 doi "https://doi.org/10.48550/arxiv.2012.08894" @default.
- W4287552007 hasPublicationYear "2020" @default.
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