Dendrites and light open mappings
It is shown that a metric continuum X is a dendrite if and only if for every compact space Y and for every light open mapping f : Y --> f(Y) such that X subset of f(Y) there is a copy X' of X in Y for which the restriction f\X' : X' --> X is a homeomorphism. Another characteriza...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2000 |
| 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:11154/2107 |
| Acceso en línea: | http://hdl.handle.net/11154/2107 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematics, Applied Mathematics continuum dendrite light mapping multifunction open selection |
| Sumario: | It is shown that a metric continuum X is a dendrite if and only if for every compact space Y and for every light open mapping f : Y --> f(Y) such that X subset of f(Y) there is a copy X' of X in Y for which the restriction f\X' : X' --> X is a homeomorphism. Another characterization of dendrites in terms of continuous selections of multivalued functions is also obtained. |
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