Implication Details
Claim: If a category has finite copowers and has sequential colimits, then it has countable copowers.
Proof: This follows from the dual implication.
Show 11 categories using this implication
- category of finitely generated abelian groups
- category of finite sets
- category of finite-dimensional vector spaces
- category of finite-dimensional vector spaces [countable field]
- category of finite-dimensional vector spaces [finite field]
- category of finite-dimensional vector spaces [uncountable field]
- category of finitely generated free abelian groups
- category of finitely generated projective modules over the ring of dual numbers
- category of sets with finite-to-one maps
- category of combinatorial species
- walking coreflexive pair