Implication details
Claim: If a category is cartesian closed and has countable copowers, then it has countable powers.
Proof: We can recycle this proof.
This implication has a dual.
Show 25 categories using this implication
- trivial category
- category of small categories
- category of coproducts of Euclidean spaces
- category of free abelian groups
- category of countable groups
- category of Jónsson-Tarski algebras
- category of M-sets
- category of smooth manifolds
- category of partially ordered sets
- category of preordered sets
- category of quivers
- category of quivers with finite components
- category of schemes
- category of sequences of sets
- category of sets
- category of set functions and commutative squares
- category of countable sets
- indiscrete category of sets
- category of pairs of sets
- category of sheaves
- category of countable-dimensional vector spaces
- category of large vector spaces over a large field with a small basis
- category of Z-sets
- category of simplicial sets
- walking isomorphism