Tight quotients of Smale diffeomorphisms on surfaces
Given a diffeomorphism $f$ over a closed surface, two points are said to be zero-entropy equivalence if there exist a continuum containing both points and the continuum carries zero entropy. In this work we use this concept to prove that the quotient dynamics, by the zero-entropy relation, of a \\te...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | Brasil |
| Institución: | Universidade de São Paulo (USP) |
| Repositorio: | Biblioteca Digital de Teses e Dissertações da USP |
| Idioma: | inglés |
| OAI Identifier: | oai:teses.usp.br:tde-18072023-133923 |
| Acceso en línea: | https://www.teses.usp.br/teses/disponiveis/45/45132/tde-18072023-133923/ |
| Access Level: | acceso abierto |
| Palabra clave: | Difeomorfismos de smale Equivalência de zero-entropia Generalized pseudo-anosov homeomorphisms Smale diffeomorphisms Zero-entropy equivalence |
| Sumario: | Given a diffeomorphism $f$ over a closed surface, two points are said to be zero-entropy equivalence if there exist a continuum containing both points and the continuum carries zero entropy. In this work we use this concept to prove that the quotient dynamics, by the zero-entropy relation, of a \\textit diffeomorphism, which is a subclass of Smale diffeomorphisms on surfaces, is a generalized pseudo-Anosov homeomorphism over a closed surface possibly having identified points. |
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