2020/11/27 by M. A. Lieberman, Lieberman, Michael, Jiřı́ Rosický +3
Mathematics · Medicine · #03C45 #03C48 #03C52 #13L05 #16B50 #18C35 #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.2011.13962
openalex publication_date 2020/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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].