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arXiv · 1801.00355

Analytic computable structure theory and $L^p$-spaces part 2

Tyler Brown·Timothy H. McNicholl
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Abstract

Suppose $p \geq 1$ is a computable real. We extend previous work of Clanin, Stull, and McNicholl by classifying the computable $L^p$ spaces whose underlying measure spaces are atomic but not purely atomic. In addition, we determine the degrees of categoricity of these spaces and the complexity of associated projection maps.

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Tyler Brown, Timothy H. McNicholl. 2017-12-31. Analytic computable structure theory and $L^p$-spaces part 2. https://arxiv.org/abs/1801.00355

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