2010/04/22 by Mark Johnson, Mark W. Johnson, Johnson, Mark W.
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT
paper · pdf · doi:10.48550/arxiv.1004.3922
33 pages, including an appendix detailing the Reedy inductive framework
arxiv created 2010/04/22 · openalex publication_date 2010/04/22 · arxiv updated 2010/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Variations on the notions of Reedy model structures and projective model structures on categories of diagrams in a model category are introduced. These allow one to choose only a subset of the entries when defining weak equivalences, or to use different model categories at different entries of the diagrams. As a result, a bisimplicial model category that can be used to recover the algebraic K-theory for any Waldhausen subcategory of a model category is produced.