Selections and order-like relations
[EN] Every selection f for the family F2(X) of at most two-point subsets of a set X naturally defines an order-like relation on X by if and only . In the present paper we study the relationship between and the possible topologies T on X which realize the continuity of f with respect to the Vietoris...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2001 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/82008 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/82008 |
| Access Level: | acceso abierto |
| Palavra-chave: | Hyperspaces topology Selection Monotone selection Ordered space |
| Resumo: | [EN] Every selection f for the family F2(X) of at most two-point subsets of a set X naturally defines an order-like relation on X by if and only . In the present paper we study the relationship between and the possible topologies T on X which realize the continuity of f with respect to the Vietoris topology on F2(X) generated by T. |
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