category theory

# Contents

## Idea

While a category is a called a pointed category if it has a zero object, i.e. if it has an initial object and a terminal object and both are isomorphic, for a quasi-pointed category the last condition is relaxed.

# Definition

A category is quasi-pointed if it has an initial object $0$, a final object $1$ and its unique morphism $0\to 1$ is a monomorphism.

# References

• D. Bourn, $3\times 3$ lemma and protomodularity, J. algebra 236 (2001), 778–795

Last revised on March 9, 2016 at 04:59:10. See the history of this page for a list of all contributions to it.