δ-closure, θ-closure and generalized closed sets

[EN] We study some new classes of generalized closed sets (in the sense of N. Levine) in a topological space via the associated δ-closure and θ-closure. The relationships among these new classes and existing classes of generalized closed sets are investigated. In the last section we provide an exten...

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Detalhes bibliográficos
Autores: Cao, Jiling, Ganster, Maximilian, Reilly, Ivan L., Steiner, Markus
Formato: artículo
Fecha de publicación:2005
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:10251/82624
Acesso em linha:https://riunet.upv.es/handle/10251/82624
Access Level:acceso abierto
Palavra-chave:δ-closed
θ-closed
qr-closed
separation properties
Descrição
Resumo:[EN] We study some new classes of generalized closed sets (in the sense of N. Levine) in a topological space via the associated δ-closure and θ-closure. The relationships among these new classes and existing classes of generalized closed sets are investigated. In the last section we provide an extensive and more or less complete survey on separation axioms characterized via singletons.