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Computing the complexity of the relation of isometry between separable Banach spaces

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Computing the complexity of the relation of isometry between separable Banach spaces
We compute here the Borel complexity of the relation of isometry between separable Banach spaces, using results of Gao, Kechris [1] and Mayer-Wolf [4]. We show that this relation is Borel bireducible to the universal relation for Borel actions of Polish groups.
Julien Melleray
Added 27 Dec 2010
Updated 27 Dec 2010
Type Journal
Year 2007
Where MLQ
Authors Julien Melleray
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