Borel equivalence relations between \ell_1 and \ell_p

Abstract

In this paper, we show that, for each $p>1$, there are continuum many Borel equivalence relations between ${\mathbb{R}}^{\omega }/{\ell }_1$ and ${\mathbb{R}}^{\omega }/{\ell }_p$ ordered by ${\le }_B$ which are pairwise Borel incomparable.

7 pages, submitted