Publication details

Small presentations of model categories and Vopěnka's principle

Investor logo


Year of publication 2018
Type Article in Periodical
Magazine / Source Homology, Homotopy and Applications
MU Faculty or unit

Faculty of Science

Keywords cobrantly generated model category; combinatorial model category; simplicial presheaves; Vopěnka's principle
Description We prove existence results for small presentations of model categories generalizing a theorem of D. Dugger from combinatorial model categories to more general model categories. Some of these results are shown under the assumption of Vopěnka's principle. Our main theorem applies, in particular, to cofibrantly generated model categories where the domains of the generating cofibrations satisfy a slightly stronger smallness condition. As a consequence, assuming Vopěnka's principle, such a cofibrantly generated model category is Quillen equivalent to a combinatorial model category.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.

More info