Borel equivalence relations between \ell_1 and \ell_p

Longyun Ding; Zhi Yin

arxiv: 1105.4492 · v1 · pith:67B5A5AYnew · submitted 2011-05-23 · 🧮 math.LO · math.FA

Borel equivalence relations between ell₁ and ell_p

Longyun Ding , Zhi Yin This is my paper

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keywords borelequivalenceomegarelationscontinuumincomparablemanyordered

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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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Borel equivalence relations between ell₁ and ell_p

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