saturated class of maps

In the context of cofibrantly generated model category theory one says that a collection II of morphisms in a category CC with colimits is saturated or weakly saturated if it is closed under the operations of forming

  1. pushouts

  2. transfinite composition

  3. retracts (in the arrow category Arr(C)Arr(C))

Last revised on June 28, 2018 at 09:51:46. See the history of this page for a list of all contributions to it.