In a model category, an **acyclic fibration** or **trivial fibration** is a morphism which is both a fibration and a weak equivalence.

Dually, an **acyclic cofibration** or **trivial cofibration** is a morphism which is both a cofibration and a weak equivalence.

Last revised on February 11, 2013 at 19:32:24. See the history of this page for a list of all contributions to it.