Model Theory of Scattered Piecewise Interpretable Hilbert Spaces
Logic
2022-09-13 v1
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.
Keywords
Cite
@article{arxiv.2209.05322,
title = {Model Theory of Scattered Piecewise Interpretable Hilbert Spaces},
author = {Alexis Chevalier},
journal= {arXiv preprint arXiv:2209.05322},
year = {2022}
}
Comments
11 pages. Comments welcome