Weakly countably determined spaces of high complexity

• Autorzy: Antonio Avilés
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 46B26: Nonseparable Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 185
• Numer: 3
• Strony: 291-303

Daty

wydano

2008

Twórcy

autor

Antonio Avilés

• Équipe de Logique Mathématique, UFR de Mathématiques, Université de Paris 7, 2 Place Jussieu, 75251 Paris, France

Identyfikatory

DOI

10.4064/sm185-3-6