24 citations · 29 across the 5 of their papers we have counts for
6 papers
Functors between Reedy model categories of diagrams
Philip S. Hirschhorn, Ismar Volic
If is a Reedy category and is a model category, the category of -diagrams in is a model category under the Reedy model category structure. If is a…
Functorial CW-approximation
Philip S. Hirschhorn
The usual construction of a CW-approximation is functorial up to homotopy, but it is not functorial. In this note, we construct a functorial CW-approximation. Our construction take…
The Quillen model category of topological spaces
Philip S. Hirschhorn
We give a complete and careful proof of Quillen's theorem on the existence of the standard model category structure on the category of topological spaces. We do not assume any fami…
The homotopy groups of the inverse limit of a tower of fibrations
Philip S. Hirschhorn
We carefully present an elementary proof of the well known theorem that each homotopy group (or, in degree zero, pointed set) of the inverse limit of a tower of fibrations maps nat…
Overcategories and undercategories of model categories
Philip S. Hirschhorn
If M is a model category and Z is an object of M, then there are model category structures on the category of objects of M over Z and the category of objects of M under Z under whi…
The diagonal of a multicosimplicial object
Philip S. Hirschhorn
We show that the functor that takes a multicosimplicial object in a model category to its diagonal cosimplicial object is a right Quillen functor. This implies that the diagonal of…