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arXiv · 2411.14813

Lifting independence along functors

Mark Kamsma·Jiří Rosický
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Abstract

Given a functor $F: \mathcal{C} \to \mathcal{D}$ and a model-theoretic independence relation on $\mathcal{D}$, we can lift that independence relation along $F$ to $\mathcal{C}$ by declaring a commuting square in $\mathcal{C}$ to be independent if its image under $F$ is independent. For each property that an independence relation can have we give assumptions on the functor that guarantee the property to be lifted.

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Mark Kamsma, Jiří Rosický. 2024-11-22. Lifting independence along functors. https://doi.org/10.1007/s10485-025-09826-y

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