English

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

Logic 2019-04-30 v2

Abstract

Suppose p1p \geq 1 is a computable real. We extend previous work of Clanin, Stull, and McNicholl by classifying the computable LpL^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.

Keywords

Cite

@article{arxiv.1801.00355,
  title  = {Analytic computable structure theory and $L^p$-spaces part 2},
  author = {Tyler Brown and Timothy H. McNicholl},
  journal= {arXiv preprint arXiv:1801.00355},
  year   = {2019}
}
R2 v1 2026-06-22T23:33:30.138Z