Contents

model category

for ∞-groupoids

# Contents

## Definition

In a model category every morphism may be factored as a weak equivalence followed by a fibration. Specifically if the morphism is that to the terminal object, this process finds a weakly equivalent fibrant object. This is a fibrant replacement or resolution of the original object.

The dual concept is called cofibrant replacement.

If the factorization is functorial, then it yields a fibrant replacement functor.

Last revised on January 16, 2019 at 06:26:28. See the history of this page for a list of all contributions to it.