Geodesic
Weakly countably determined spaces of high complexity
Antonio Avilés1
1 Équipe de Logique Mathématique UFR de Mathématiques Université de Paris 7 2 Place Jussieu 75251 Paris, France
Studia Mathematica, Tome 185 (2008) no. 3, pp. 291-303 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm185-3-6
Keywords: prove there exist weakly countably determined spaces complexity higher coanalytic other coanalytic sets characterized existence cofinal adequate family closed sets therefore banach spaces constructed means these families have coanalytic complexity

Antonio Avilés 1

1 Équipe de Logique Mathématique UFR de Mathématiques Université de Paris 7 2 Place Jussieu 75251 Paris, France 
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Antonio Avilés. Weakly countably determined spaces of high complexity. Studia Mathematica, Tome 185 (2008) no. 3, pp. 291-303. doi: 10.4064/sm185-3-6

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