Diagonal model structures

  title={Diagonal model structures},
  author={John F. Jardine},
The original purpose of this note was to display a model structure for the category sSet of bisimplicial sets whose cofibrations are the monomorphisms and whose weak equivalences are the diagonal weak equivalences, and then show that it is cofibrantly generated in a very precise way. The project grew to include analogous model structures on categories of bisimplicial presheaves. These model structures are the diagonal model structures of the title. The fibrations for the diagonal model… CONTINUE READING