nLab simplicial homotopy category


A refinement of the notion of homotopy category of a model category (more generally, relative category) that keeps track of homotopies between morphisms.

Dwyer–Kan implement the notion of a simplicial homotopy category as a simplicial category that is Dwyer–Kan equivalent to the hammock localization.


See §5.1 in

Created on December 26, 2023 at 00:34:25. See the history of this page for a list of all contributions to it.