2023/04/21 by Volodymyr Lyubashenko, Lyubashenko, Volodymyr
Decision Sciences · Mathematics · Medicine · #18M65 #Category Theory (math.CT) #FOS: Mathematics #Fuzzy and Soft Set Theory #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications
paper · pdf · doi:10.48550/arxiv.2304.11227
openalex publication_date 2023/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a machine which takes as input a locally small symmetric closed complete multicategory \mathsf V. And its output is again a locally small symmetric closed complete multicategory \mathsf V\text-Cat, the multicategory of small \mathsf V-categories and multi-entry \mathsf V-functors. An example of such \mathsf V is provided by short spaces (vector spaces with a system of seminorms) and short maps. When the ground multicategory \mathsf V is Set we obtain strict 2-categories and their surroundings by iterating twice the construction of categories.