Trace definability III: Infinite dimensional space over a model of $T$

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1. Verfasser: Walsberg, Erik
Format: Preprint
Veröffentlicht: 2026
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author Walsberg, Erik
author_facet Walsberg, Erik
contents We show that for a number of theories $T^*$ of model-theoretic interest there is a simpler theory $T$ and $κ\ge \aleph_0$ such that $T^*$ is trace equivalent to the theory of $κ$-dimensional space over a model of $T$.
format Preprint
id arxiv_https___arxiv_org_abs_2605_12337
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Trace definability III: Infinite dimensional space over a model of $T$
Walsberg, Erik
Logic
We show that for a number of theories $T^*$ of model-theoretic interest there is a simpler theory $T$ and $κ\ge \aleph_0$ such that $T^*$ is trace equivalent to the theory of $κ$-dimensional space over a model of $T$.
title Trace definability III: Infinite dimensional space over a model of $T$
topic Logic
url https://arxiv.org/abs/2605.12337