Implication Details
Claim: If a category has binary products and is inhabited, then it is cosifted.
Proof: This follows from the dual implication.
Show 19 categories using this implication
- discrete category on two objects
- category of finite sets and bijections
- category of small categories
- category of coproducts of Euclidean spaces
- category of finite sets and surjections
- category of finite sets of even cardinality
- category of finite sets of odd cardinality
- category of finite sets of cardinality a power of 3
- category of finitely generated free modules over Z x Z
- category of smooth manifolds
- category of metric spaces with ∞ allowed
- category of partially ordered sets
- category of partially ordered sets without isolated points
- category of finitely generated projective modules over the ring of dual numbers
- category of sets and relations
- category of schemes
- discrete category of sets
- category of non-empty sets
- walking span