On period three and topological entropy in hereditarily decomposable arc-like continua
In this note we prove the next claim: If C is a hereditarily decomposable arc-like continuum and f : C --> C is a continuous mapping with a periodic point of period 3, then f has positive topological entropy. This result generalizes a known property for maps defined in the interval.
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2002 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/2498 |
| Acceso en línea: | http://hdl.handle.net/11154/2498 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematics topological entropy periodic points hereditarily decomposable arc-like continuum |
| Sumario: | In this note we prove the next claim: If C is a hereditarily decomposable arc-like continuum and f : C --> C is a continuous mapping with a periodic point of period 3, then f has positive topological entropy. This result generalizes a known property for maps defined in the interval. |
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