The isomorphism class of $ c_{0} $ is not Borel
Functional Analysis
2019-07-17 v1
Abstract
We show that the class of all Banach spaces which are isomorphic to 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.
Cite
@article{arxiv.1711.03328,
title = {The isomorphism class of $ c_{0} $ is not Borel},
author = {Ondřej Kurka},
journal= {arXiv preprint arXiv:1711.03328},
year = {2019}
}