The isomorphism class of c₀ is not Borel
classification
🧮 math.FA
keywords
banachborelclassspacesanalyticargyrosbourgain-delbaencomplete
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We show that the class of all Banach spaces which are isomorphic to $ c_{0} $ is a complete analytic set with respect to the Effros Borel structure of separable Banach spaces. The proof employs a recent Bourgain-Delbaen construction by Argyros, Gasparis and Motakis.
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