nLab
acyclic fibration

Contents

Definition

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.

Examples

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