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The isomorphism class of $ c_{0} $ is not Borel
Published 9 Nov 2017 in math.FA | (1711.03328v1)
Abstract: 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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