A characterization of inducible mappings between hyperspaces
For fixed hyperspaces H(X) and H(Y ) of metric continua X and Y , respectively, a mapping g : H(X) → H(Y ) is called inducible provided that there exists a mapping f : X → Y such that g(A) = {f(a) : a ∈ A}, for every A ∈ H(X). In this paper, we present a characterization of inducible mappings betwee...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | México |
| Institución: | Universidad Autónoma del Estado de México |
| Repositorio: | Redalyc-UAEMEX |
| OAI Identifier: | oai:redalyc.org:327066856005 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=327066856005 https://www.redalyc.org/journal/3270/327066856005/ https://www.redalyc.org/journal/3270/327066856005/html/ https://www.redalyc.org/journal/3270/327066856005/327066856005.epub https://www.redalyc.org/journal/3270/327066856005/movil |
| Access Level: | acceso abierto |
| Palabra clave: | Física, Astronomía y Matemáticas Continuum hyperspace induced mapping inducible mapping |
| Sumario: | For fixed hyperspaces H(X) and H(Y ) of metric continua X and Y , respectively, a mapping g : H(X) → H(Y ) is called inducible provided that there exists a mapping f : X → Y such that g(A) = {f(a) : a ∈ A}, for every A ∈ H(X). In this paper, we present a characterization of inducible mappings between hyperspaces, compare it with the necessary and sufficient conditions under which a mapping between hyperspaces g is inducible given by J.J. Charatonik and W.J. Charatonik in 1998, and exhibit examples to show the independence among the conditions in both characterizations in all hyperespaces, some of them have not been considered in the known characterization, doing complete the study of this class of mappings. |
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