Implication details
Claim: If a category is coaccessible, then it has an extremal cogenerating collection.
Proof: This follows from the dual implication.
This implication has a dual.
Show 20 categories using this implication
- category of finitely generated abelian groups
- category of algebras
- category of sets equipped with an irreflexive binary relation
- category of sets equipped with a symmetric irreflexive binary relation
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of compact Hausdorff spaces
- category of fields
- category of fields of characteristic zero
- category of groups
- category of monoids
- category of rings
- category of rngs
- category of semigroups
- category of sets and bijections
- category of large families of sets which are mostly empty
- category of sets with finite-to-one maps
- category of uniform spaces
- category of large families of vector spaces which are mostly zero