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Analytic computable structure theory and $$L^p$$Lp -spaces part 2
Archive For Mathematical Logic ( IF 0.4 ) Pub Date : 2019-10-31 , DOI: 10.1007/s00153-019-00697-4
Tyler Brown , Timothy H. McNicholl

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.

中文翻译:

解析可计算结构理论和$$ L ^ p $$ Lp-空间第2部分

假设\(p \ ge 1 \)是可计算的实数。我们通过确定可分离的\(L ^ p \)空间的分类度来扩展Clanin,Stull和McNicholl的先前工作,这些空间的基本度量空间是原子的但不是纯粹的原子。另外,我们确定关联投影图的复杂性。
更新日期:2019-10-31
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