This is an announcement for the paper “The isomorphism class of c0 is not Borel” by Ondřej Kurkahttps://arxiv.org/find/math/1/au:+Kurka_O/0/1/0/all/0/1.
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.
The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1711.03328