Implication Details
Claim: If a category has finite copowers, then it has binary copowers and has an initial object.
Proof: This follows from the dual implication.
Show 15 categories using this implication
- category of fields
- category of finite groups
- category of finite ordered sets
- category of finite sets and bijections
- category of finite sets and injections
- category of finite sets and surjections
- category of metric spaces with non-expansive maps
- category of non-empty sets
- category of pseudo-metric spaces with non-expansive maps
- delooping of a non-trivial finite group
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- discrete category on two objects
- empty category
- simplex category