This is an announcement for the paper "Weakly countably determined spaces of high complexity" by Antonio Aviles.

Abstract: We 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.

Archive classification: math.FA

Mathematics Subject Classification: 46B26

Citation: Stud. Math. 185, No. 3, 291-303 (2008)

Remarks: This version differs from the published in Studia Mathematica in that

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http://front.math.ucdavis.edu/0903.0852

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http://arXiv.org/abs/0903.0852

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