Induced and higher-dimensional stable independence

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Authors

LIEBERMAN Michael ROSICKÝ Jiří VASEY Sebastien

Year of publication 2022
Type Article in Periodical
Magazine / Source Annals of Pure and Applied Logic
MU Faculty or unit

Faculty of Science

Citation
Web https://www.sciencedirect.com/science/article/pii/S0168007222000392
Doi http://dx.doi.org/10.1016/j.apal.2022.103124
Keywords Stable independence; Accessible categories; Classification theory; Categories of modules
Description We provide several crucial technical extensions of the theory of stable independence notions in accessible categories. In particular, we describe circumstances under which a stable independence notion can be transferred from a subcategory to a category as a whole, and examine a number of applications to categories of groups and modules, extending results of [16]. We prove, too, that under the hypotheses of [11], a stable independence notion immediately yields higher-dimensional independence as in [26].
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