Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces
| dc.creator | Ferenczi, Valentin | |
| dc.creator | Galego, Eloi Medina | |
| dc.date | 2004-06-23 | |
| dc.date | 2004-12-07 | |
| dc.date.accessioned | 2026-07-07T05:09:30Z | |
| dc.date.available | 2026-07-07T05:09:30Z | |
| dc.description | 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 $E_{K_σ}$ 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 $E_{K_σ} \otimes =^+$ is Borel reducible to isomorphism, complemented biembeddability, and Lipschitz equivalence between subspaces of $L_p, 1 \leq p <2$. | |
| dc.description | 23 pages; 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0406477 | |
| dc.identifier | http://arxiv.org/abs/math/0406477 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71650 | |
| dc.subject | Functional Analysis | |
| dc.subject | Logic | |
| dc.subject | 03E15; 46B03 | |
| dc.title | Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces | |
| dc.type | text |