Borel equivalence relations between \ell_1 and \ell_p

In this paper, we show that, for each $p>1$, there are continuum many Borel equivalence relations between $\Bbb R^ω/\ell_1$ and $\Bbb R^ω/\ell_p$ ordered by $\le_B$ which are pairwise Borel incomparable.

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