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arxiv: 1810.07543 · v1 · pith:SPN4GFDAnew · submitted 2018-10-17 · 🧮 math.LO

Measure-theoretic Uniformity and the Suslin Functional

classification 🧮 math.LO
keywords functionalmeasure-theoreticsetssuslinuniformityalternativelybasiscomputability
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We generalise results by Sacks and Tanaka concerning measure-theoretic uniformity for hyperarithmetical sets and a basis theorem for $\Pi^1_1$-sets of positive measure to computability and semicomputability relative to the Suslin functional, alternatively to the (equivalent) Hyperjump.

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