Lifting Independence Along Functors

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Authors

KAMSMA Mark Peter ROSICKÝ Jiří

Year of publication 2026
Type Article in Periodical
Magazine / Source Applied Categorical Structures
MU Faculty or unit

Faculty of Science

Citation
web https://link.springer.com/article/10.1007/s10485-025-09826-y
Doi https://doi.org/10.1007/s10485-025-09826-y
Keywords Independence relation; Functor; Neostability
Description Given a functor F: C › D and a model-theoretic independence relation on D, we can lift that independence relation along F to C by declaring a commuting square in C to be independent if its image under F is independent. For each property of interest that an independence relation can have we give assumptions on the functor that guarantee the property to be lifted.
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