Topological and metric emergence of continuous maps
| Autor: | Carvalho, Maria, Rodrigues, Fagner B., Varandas, Paulo |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove that the homeomorphisms of a compact manifold with dimension one have zero topological emergence, whereas in dimension greater than one the topological emergence of a C^0-generic conservative homeomorphism is maximal, equal to the dimension of the manifold. Moreover, we show that the metric emergence of continuous self-maps on compact metric spaces has the intermediate value property. Comment: Now the paper also contains results about generic dissipative homeomorphisms on dimension greater than two and an application about the metric order of the space of pseudo-physical measures of C^0-generic homeomorphisms |
| Databáze: | arXiv |
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