Induced and inducible mappings between hyperspaces
In this paper we consider H(X) be a hyperspace of a continuum X. Let f : X → Y be a continuous function between continua, consider the induced function H(f) : H(X) → H(Y ) given by H(f)(A) = f(A), for all A ϵ H(X). On the other hand, if we have the continuous function H : H(X) → H(Y ) and there exis...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | Perú |
| Institución: | Universidad Nacional Mayor de San Marcos |
| Repositorio: | Revistas - Universidad Nacional Mayor de San Marcos |
| Idioma: | español |
| OAI Identifier: | oai:revistasinvestigacion.unmsm.edu.pe:article/15722 |
| Acceso en línea: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/15722 |
| Access Level: | acceso abierto |
| Palabra clave: | Continuum hyperspace induced function inducible function and order embedding Continuo hiperespacio función inducida función inducible y encaje ordenado |
| Sumario: | In this paper we consider H(X) be a hyperspace of a continuum X. Let f : X → Y be a continuous function between continua, consider the induced function H(f) : H(X) → H(Y ) given by H(f)(A) = f(A), for all A ϵ H(X). On the other hand, if we have the continuous function H : H(X) → H(Y ) and there exists g : X → Y such that H = H(f), we say that H is inducible. Three classes of functions between continua are presented and the following problem is studied: f belongs to a class if and only if the induced function H(f) also belongs to that class. In addition, a characterization for the inducible functions is presented and with this of sample an application to order embedding. |
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