Implication Details
Claim: If a category has equalizers and is finitely cocomplete and is locally cocartesian coclosed, then it is coregular.
Proof: This follows from the dual implication.
Show 13 categories using this implication
- category of algebras
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of countable groups
- category of groups
- category of Hausdorff spaces
- category of monoids
- category of rings
- category of rngs
- category of semigroups
- category of small categories
- partially ordered collection of ordinal numbers