quasi-pointed category

Recall that 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.

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

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

Revised on April 16, 2009 08:54:45
by Urs Schreiber
(134.100.222.156)