On Model Theory of Valued Vector Spaces
Logic
2021-12-01 v1
Abstract
In analogy to valued fields, we study model-theoretic properties of valued vector spaces with variable base field by proving transfer principles down to the skeleton and down to the value set and base field. For instance, we give a formula which computes its burden in terms of the burden of its base field and its value set. To do this, we study these transfer principles in the context of lexicographic products of structures.
Keywords
Cite
@article{arxiv.2111.15516,
title = {On Model Theory of Valued Vector Spaces},
author = {Pierre Touchard},
journal= {arXiv preprint arXiv:2111.15516},
year = {2021}
}