Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence

[EN] We study the double Fell topology when this hypertopology is constructed over a quasi-pseudo-metric space. In particular, its relationship with the Wijsman hypertopology is studied. We also propose an extension of the Kuratowski-Painlevé convergence in the bitopological setting.

Detalhes bibliográficos
Autor: Rodríguez-López, Jesús
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:10251/81906
Acesso em linha:https://riunet.upv.es/handle/10251/81906
Access Level:acceso abierto
Palavra-chave:Quasi-pseudo-metric
Double topological space
Fell topology
Wijsman topology
uratowski-Painlevé convergence
Descrição
Resumo:[EN] We study the double Fell topology when this hypertopology is constructed over a quasi-pseudo-metric space. In particular, its relationship with the Wijsman hypertopology is studied. We also propose an extension of the Kuratowski-Painlevé convergence in the bitopological setting.