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arXiv · 1711.03328

The isomorphism class of $ c_{0} $ is not Borel

Ondřej Kurka
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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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Ondřej Kurka. 2017-11-09. The isomorphism class of $ c_{0} $ is not Borel. https://doi.org/10.1007/s11856-019-1851-0

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