2013/07/27 by Hugo V. Bacard, Bacard, Hugo V. · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.CT
paper · pdf · doi:10.48550/arxiv.1307.7215
22 pages, first draft. Comments always welcome
arxiv created 2013/07/27 · openalex publication_date 2013/07/27 · arxiv updated 2013/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We use a theory of colax Reedy diagrams to show that the category of Segal M-precategories with fixed set of objects has a model structure for a symmetric monoidal model category M = (M,⊗,I). What is relevant here is when M is monoidal for a non-cartesian product. The model structure is of Reedy style and generalizes the Reedy model structure for classical Segal M-precategories when M is monoidal for the cartesian product. The techniques we use also generalize the Reedy model structure for classical Reedy diagrams.