Implication Details
Claim: If a category has an extremal cogenerating set, then it has a cogenerating set.
Proof: This follows from the dual implication.
Show 28 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 fields
- category of finite abelian groups
- category of finite groups
- category of finite sets and bijections
- category of finite sets and injections
- category of finite-dimensional vector spaces [uncountable field]
- category of finitely generated abelian groups
- category of groups
- category of Hausdorff spaces
- category of monoids
- category of rings
- category of rngs
- category of semigroups
- category of sets with finite-to-one maps
- category of small categories
- category of torsion-free abelian groups
- discrete category on two objects
- empty category
- partially ordered set of extended natural numbers
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking morphism