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arXiv · 2011.13962

Induced and higher-dimensional stable independence

Michael Lieberman·Jiri Rosicky·Sebastien Vasey
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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].

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Michael Lieberman, Jiri Rosicky, Sebastien Vasey. 2020-11-27. Induced and higher-dimensional stable independence. https://arxiv.org/abs/2011.13962

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