Arc approximation property and confluence of induced mappings
We say that a continuum X has the are approximation property if every subcontinuum K of X is the limit of a sequence of arcwise connected subcontinua of X all containing a fixed point of K. This property is applied to exhibit a class of continua Y such that confluence of a mapping f : X --> Y imp...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1998 |
| 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:11154/2759 |
| Acceso en línea: | http://hdl.handle.net/11154/2759 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematics approximation arcwise connected confluent continuum hyperspace induced mapping joining pseudo-confluent semi-confluent weakly confluent n-weakly confluent |
| Sumario: | We say that a continuum X has the are approximation property if every subcontinuum K of X is the limit of a sequence of arcwise connected subcontinua of X all containing a fixed point of K. This property is applied to exhibit a class of continua Y such that confluence of a mapping f : X --> Y implies confluence of the induced mappings 2(f) : 2(X) --> 2(Y) and C(f) : C(X) --> C(Y). The converse implications are studied and similar interrelations are considered for some other classes of mappings, related to confluent ones. |
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