2019/11/10 by Julien Ducoulombier, Ducoulombier, Julien, Benoît Fresse +3
Mathematics · #18D50 #55P05 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · doi:10.48550/arxiv.1911.03890
openalex publication_date 2019/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct and study projective and Reedy model category structures for bimodules and infinitesimal bimodules over topological operads. Both model structures produce the same homotopy categories. For the model categories in question, we build explicit cofibrant and fibrant replacements. We show that these categories are right proper and under some conditions left proper. We also study the extension/restriction adjunctions.