This is an announcement for the paper "Borel equivalence relations between \ell_1 and \ell_p" by Longyun Ding and Zhi Yin.

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

Archive classification: math.LO math.FA

Mathematics Subject Classification: 03E15, 46F45

Remarks: 7 pages, submitted

Submitted from: dingly@nankai.edu.cn

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1105.4492

or

http://arXiv.org/abs/1105.4492