Weakly countably determined spaces of high complexity

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dc.creatorAvilés, Antonio
dc.date2009-03-04
dc.date.accessioned2026-07-07T12:49:07Z
dc.date.available2026-07-07T12:49:07Z
dc.descriptionWe prove that there exist weakly countably determined spaces of complexity higher than coanalytic. On the other hand, we also show that coanalytic sets can be characterized by the existence of a cofinal adequate family of closed sets. Therefore the Banach spaces constructed by means of these families have at most coanalytic complexity.
dc.descriptionThis version differs from the published in Studia Mathematica in that there is a short correction to a mistake discovered by the MR reviewer
dc.identifierhttps://arxiv.org/abs/0903.0852
dc.identifierhttp://arxiv.org/abs/0903.0852
dc.identifierStud. Math. 185, No. 3, 291-303 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222290
dc.subjectFunctional Analysis
dc.subject46B26
dc.titleWeakly countably determined spaces of high complexity
dc.typetext

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