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Separation of analytic sets by rectangles of low complexity

preprint2014arXivOpen access
Rafael Zamora
math.GNmath.LO
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Abstract

We provide Hurewicz tests for the separation of disjoint analytic sets by rectangles of the form Γ×Γ′Γ\timesΓ' for Γ,Γ′∈Σ10,Π10,Π20Γ,Γ'\in {\mathbfΣ^0_1 , \mathbfΠ^0_1 , \mathbfΠ^0_2 }.

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