Implication Details
Claim: If a category has copowers, then it has ℵ₂-small copowers.
Proof: This follows from the dual implication.
Show 13 categories using this implication
- category of countable groups
- category of countable sets
- category of fields
- category of metric spaces with non-expansive maps
- category of non-empty sets
- category of pseudo-metric spaces with non-expansive maps
- category of sets with finite-to-one maps
- category of smooth manifolds
- delooping of the additive monoid of ordinal numbers
- discrete category on two objects
- empty category
- partially ordered set of natural numbers
- walking span