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

Ond\v{r}ej Kurka

arxiv: 1711.03328 · v1 · pith:CY2QWQ62new · submitted 2017-11-09 · 🧮 math.FA

The isomorphism class of c₀ is not Borel

Ond\v{r}ej Kurka This is my paper

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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The isomorphism class of c₀ is not Borel

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