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.

Revised on October 11, 2012 17:09:03 by Anonymous Coward (93.129.84.175)