Induced and higher-dimensional stable independence
Logic
2022-08-31 v7 Category Theory
Abstract
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 [MAa]. We prove, too, that under the hypotheses of [LRV], a stable independence notion immediately yields higher-dimensional independence as in [SV].
Cite
@article{arxiv.2011.13962,
title = {Induced and higher-dimensional stable independence},
author = {Michael Lieberman and Jiri Rosicky and Sebastien Vasey},
journal= {arXiv preprint arXiv:2011.13962},
year = {2022}
}