Borel equivalence relations between ℓ₁ and ℓ_p

2011/05/23 by Longyun Ding, Ding, Longyun, Zhi Yin +1
Mathematics · #Advanced Topology and Set Theory #Functional Equations Stability Results #Homotopy and Cohomology in Algebraic Topology #math.FA #math.LO #msc:03E15 #msc:46F45

paper · pdf · doi:10.48550/arxiv.1105.4492

7 pages, submitted

arxiv created 2011/05/23 · arxiv updated 2011/05/24

Abstract

In this paper, we show that, for each p>1, there are continuum many Borel equivalence relations between \Bbb R^ω/ℓ₁ and \Bbb R^ω/ℓ_p ordered by ≤_B which are pairwise Borel incomparable.

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