nLab
opposite model structure

Contents

Definition

Definition

If a category CC carries a model category structure, then the opposite category C opC^{op} carries the opposite model structure:

its weak equivalences are those morphisms whose dual was a weak equivalence in CC, its fibrations are those morphisms that were cofibrations in CC and its cofibrations are those that were fibrations in CC.

Created on February 6, 2013 at 18:01:30. See the history of this page for a list of all contributions to it.