A comparison of various analytic choice principles
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We investigate computability theoretic and descriptive set theoretic contents of various kinds of analytic choice principles by performing detailed analysis of the Medvedev lattice of Σ^1_1-closed sets. Among others, we solve an open problem on the Weihrauch degree of the parallelization of the Σ^1_1-choice principle on the integers. Harrington's unpublished result on a jump hierarchy along a pseudo-well-ordering plays a key role in solving the problem.
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