∆-normal spaces and decompositions of normality

[EN] Generalizations of normality, called (weakly) (functionally) ∆-normal spaces are introduced and their interrelation with some existing notions of normality is studied. ∆-regular spaces are introduced which is a generalization of seminormal, semiregular and θ-regular space. This leads to decompo...

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Detalhes bibliográficos
Autor: Das, A.K.
Formato: artículo
Fecha de publicación:2009
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:10251/86701
Acesso em linha:https://riunet.upv.es/handle/10251/86701
Access Level:acceso abierto
Palavra-chave:δ-open sets
δ-closed sets (Weakly) (functionally)θ-normalspace
functionally delta-normal spaces
θ-regular spaces
Seminormal spaces
weakly delta-normal spaces
delta-normal spaces
Descrição
Resumo:[EN] Generalizations of normality, called (weakly) (functionally) ∆-normal spaces are introduced and their interrelation with some existing notions of normality is studied. ∆-regular spaces are introduced which is a generalization of seminormal, semiregular and θ-regular space. This leads to decompositions of normality in terms of ∆-regularity, seminormality and variants of ∆-normality