2016/08/27 by Denis Nardin, Nardin, Denis · 6 citations
Mathematics · Medicine · Neuroscience · #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #Cerebrospinal fluid and hydrocephalus #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications #Neurosurgical Procedures and Complications
paper · pdf · doi:10.48550/arxiv.1608.07704
openalex publication_date 2016/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we develop a theory of stability for G-categories (presheaf\nof categories on the orbit category of G), where G is a finite group. We\ngive a description of Mackey functors as G-commutative monoids exploit it to\ncharacterize G-spectra as the G-stabilization of G-spaces. As an\napplication of this we provide an alternative proof of a theorem by Guillou and\nMay. The theory here is developed in the more general setting of orbital\ncategories.\n