Implication Details
Assumptions: finitely cocomplete
Conclusions: coequalizers, finite coproducts
This is an equivalence.
This implication has been dualized from this implication.
Show 43 categories using this implication
- category of finitely generated abelian groups
- category of algebras
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- category of commutative algebras
- category of commutative rings
- simplex category
- category of finite sets and injections
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- category of finite sets
- category of free abelian groups
- category of groups
- category of countable groups
- category of smooth manifolds
- category of metric spaces with non-expansive maps
- category of metric spaces with continuous maps
- category of monoids
- poset of natural numbers
- poset of ordinal numbers
- category of pseudo-metric spaces with non-expansive maps
- category of sets and relations
- category of rings
- category of rngs
- category of schemes
- category of countable sets
- category of pointed sets
- category of non-empty sets
- category of combinatorial species
- category of torsion abelian groups
- category of torsion-free abelian groups
- poset [0,1]
- walking commutative square
- walking composable pair
- walking coreflexive pair
- walking fork
- walking idempotent
- walking morphism
- walking parallel pair
- walking splitting