Implication details
Claim: If a category is co-Grothendieck abelian and is locally essentially small, then it is locally copresentable.
Proof: This follows from the dual implication.
This implication has a dual.
Show 27 categories using this implication
- simplex category
- category of coproducts of Euclidean spaces
- 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 free abelian groups
- category of finitely generated free modules over Z x Z
- category of M-sets
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of sets with a distinguished subset
- partially ordered set of natural numbers
- category of pseudo-metric spaces with non-expansive maps
- category of partially ordered sets without isolated points
- category of sets
- category of countably infinite sets
- discrete category of sets
- category of non-empty sets
- category of abelian sheaves
- category of pointed topological spaces
- category of torsion abelian groups
- category of Z-sets
- cocompletion of a discrete–pair join
- category of ω-sets
- category of simplicial sets
- walking coreflexive pair
- walking idempotent