Fibrant object
= Fibrant object
{wiki=Fibrant_object}
A *fibrant object* is a concept from homotopy theory and category theory, particularly in the context of model categories. A model category is a category equipped with both a notion of weak equivalences and a well-behaved notion of fibrations and cofibrations. Fibrant objects in this setting are those that satisfy certain conditions which make them "nice" from the point of view of homotopy.