Implication Details
Claim: If a category has an initial object and has pushouts, then it has binary coproducts.
Proof: This follows from the dual implication.
This implication has a dual.
Show 11 categories using this implication
- category of finite sets and injections
- category of finite groups
- category of finite ordered sets
- category of fields of characteristic zero
- category of metric spaces with non-expansive maps
- category of pseudo-metric spaces with non-expansive maps
- category of empty-or-finite pairs of sets
- forked commutative square
- walking fork
- walking span
- walking splitting