# nLab cofiber

### Context

#### Limits and colimits

limits and colimits

# Contents

## Definition

###### Lemma

For $f : A \to B$ a morphism in a category with a terminal object, the cofiber of $f$ is the cofiber coproduct of $f$ with the terminal morphism, hence the pushout

$\array{ A &\stackrel{f}{\to}& B \\ \downarrow && \downarrow \\ * &\to& B \coprod_A * } \,.$

## Examples

### Cokernels

In an additive category cofibers over the zero object are called cokernels.

Created on September 12, 2012 19:04:38 by Urs Schreiber (131.174.188.61)