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• W2949455250 abstract "We improve the known results about the complexity of the relation of isomorphism between separable Banach spaces up to Borel reducibility, and we achieve this using the classical spaces $c_0$, $ell_p$ and $L_p$, $1 leq p <2$. More precisely, we show that the relation $E_{K_{sigma}}$ is Borel reducible to isomorphism and complemented biembeddability between subspaces of $c_0$ or $ell_p, 1 leq p <2$. We show that the relation $E_{K_{sigma}} otimes =^+$ is Borel reducible to isomorphism, complemented biembeddability, and Lipschitz equivalence between subspaces of $L_p, 1 leq p <2$." @default.
• W2949455250 created "2019-06-27" @default.
• W2949455250 creator A5032376793 @default.
• W2949455250 creator A5063748185 @default.
• W2949455250 date "2004-06-23" @default.
• W2949455250 modified "2023-10-01" @default.
• W2949455250 title "Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces" @default.
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• W2949455250 hasPublicationYear "2004" @default.
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