Highly Influenced

@inproceedings{Hirschhorn2016OvercategoriesAU, title={Overcategories and undercategories of model categories}, author={Philip S. Hirschhorn}, year={2016} }

- Published 2016

If M is a model category and Z is an object of M, then there are model category structures on the categories (M ↓Z) (the category of objects of M over Z) and (Z ↓M) (the category of objects of M under Z) under which a map is a cofibration, fibration, or weak equivalence if and only if its image in M under the forgetful functor is, respectively, a cofibration, fibration, or weak equivalence. It is asserted without proof in [1] that if M is cofibrantly generated, cellular, or proper, then so is… CONTINUE READING