Implication Details
Claim: If a category has coequalizers, then it is Cauchy complete.
Proof: This follows from the dual implication.
Show 14 categories using this implication
- category of small categories
- simplex category
- category of coproducts of Euclidean spaces
- category of finite groups
- 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 partially ordered sets without isolated points
- category of sets and relations
- category of pointed topological spaces
- cocompletion of a discrete–pair join
- walking coreflexive pair
- walking idempotent