2024/11/08 by Niko Naumann, Naumann, Niko, Luca Pol +3 · 2 citations
Medicine · #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #Medical Imaging Techniques and Applications
paper · pdf · doi:10.48550/arxiv.2411.05467
openalex publication_date 2024/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given a symmetric monoidal stable ∞-category C which is rigidly-compactly generated and a set of compact objects K of C, one can form the subcategories of K-complete and K-local objects. The goal of this paper is to explain how to recover C from its K-local and K-complete subcategories while retaining the symmetric monoidal structure. Specializing to the case where C is the ∞-category of G-spectra for a finite group G, our result can be viewed as a symmetric monoidal variant of the isotropy separation decomposition, a version of which appeared previously in work of Krause.