2011/03/07 by Stella Anevski, Anevski, Stella
Mathematics · #18F99 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #math.AT #msc:18F99
paper · pdf · doi:10.48550/arxiv.1103.1235
openalex publication_date 2011/03/07 · arxiv created 2011/06/23 · arxiv updated 2011/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The finite stable homotopy category S0 has been suggested as a candidate for a category of perfect complexes over the monoid scheme Spec F1. We apply a reconstruction theorem from algebraic geometry to S0, and show that one recovers the one point topological space. We also classify filtering subsets of the set of principal thick subcategories of S0, and of its p-local versions. This is motivated by a result saying that the analogous classification for the category of perfect complexes over an affine scheme provides topological information.