Abstract
Suppose \(p \ge 1\) is a computable real. We extend previous work of Clanin, Stull, and McNicholl by determining the degrees of categoricity of the separable \(L^p\) spaces whose underlying measure spaces are atomic but not purely atomic. In addition, we ascertain the complexity of associated projection maps.
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Acknowledgements
We thank Diego Rojas for proofreading and several valuable suggestions. We also thank the referee for suggesting many significant improvements.
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The second author was supported in by Simons Foundation Grant # 317870.
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Brown, T., McNicholl, T.H. Analytic computable structure theory and \(L^p\)-spaces part 2. Arch. Math. Logic 59, 427–443 (2020). https://doi.org/10.1007/s00153-019-00697-4
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DOI: https://doi.org/10.1007/s00153-019-00697-4