Implication details
Claim: If a category has countable copowers, then it has finite copowers.
Proof: This follows from the dual implication.
This implication has a dual.
Show 12 categories using this implication
- empty category
- discrete category on two objects
- delooping of the additive monoid of ordinal numbers
- category of finite sets and surjections
- category of finite groups
- category of fields
- category of fields of characteristic zero
- category of sets and bijections
- discrete category of sets
- category of large families of sets and bijections
- category of non-empty sets
- walking span