2021/11/24 by Flavien Breuvart, Breuvart, Flavien
Medicine · #Category Theory (math.CT) #FOS: Mathematics #Intracranial Aneurysms: Treatment and Complications
paper · pdf · doi:10.48550/arxiv.2111.12508
openalex publication_date 2021/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Enrichment and internal categories are two different way to generalize the notion of category. As such, enriching double categories (which are categories internal to Cat) is not a clear concepts. One can look at the internal categories of the category of C-enriched categories or the internal C-category in Cat. This concepts, unfortunately, are not powerful enough, even thin (posetal) double categories can't be seen this way. However, an orthogonal investigation, that of the enrichment by a double category, will help relaxing the internal C-category to a incorporate the internal categories of the category of C-enriched categories, as well as thin double categories or framed bicategories.