Implication Details
Claim: If a category is coextensive and has effective cocongruences, then it is epi-regular.
Proof: This follows from the dual implication.
This implication has a dual.
Show 23 categories using this implication
- delooping of the additive monoid of ordinal numbers
- category of sets equipped with a binary relation
- category of sets equipped with an irreflexive binary relation
- category of sets equipped with a reflexive binary relation
- category of sets equipped with a symmetric binary relation
- category of sets equipped with a symmetric irreflexive binary relation
- category of sets equipped with a symmetric reflexive binary relation
- category of commutative algebras
- category of commutative rings
- category of coproducts of Euclidean spaces
- category of fields
- category of smooth manifolds
- category of metric spaces with continuous maps
- category of sets with a distinguished subset
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- forked commutative square
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking fork
- walking parallel pair
- walking span