On density and π-weight of Lp(βN,R, μ)

[EN] The new topological concept of selective separability is able to give some estimates for density and π-weight of the Lebesgue space Lp(βN,R, μ) with 1 ≤ p < +∞. In particular, we deduce a purely topological proof of the non-separability of such a space.

Detalles Bibliográficos
Autor: Iurato, Giuseppe
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/87181
Acceso en línea:https://riunet.upv.es/handle/10251/87181
Access Level:acceso abierto
Palabra clave:Separability
Selective separability
Lebesgue space
Descripción
Sumario:[EN] The new topological concept of selective separability is able to give some estimates for density and π-weight of the Lebesgue space Lp(βN,R, μ) with 1 ≤ p < +∞. In particular, we deduce a purely topological proof of the non-separability of such a space.