Borel equivalence relations between \ell_1 and \ell_p

Details Borel equivalence relations between \ell_1 and \ell_p Borel equivalence relations between \ell_1 and \ell_p

2011-05-23

arxiv.org/abs/1105.4492v1

Mathematics

Logic

7 pages, submitted

Scientific paper

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.

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