Submission date: 12 September 2022

Abstract:

We study scattered piecewise interpretable Hilbert spaces from a model theoretic point of view. We establish strong connections between the Hilbert space structure theorems of [Chevalier Hrushovski 2021] and the model theoretic notions of canonical bases, one-basedness and model theoretic ranks.

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Full text arXiv 2209.05322: pdf, ps.