Implication Details
Claim: If a category is balanced and has a cogenerator, then it has an extremal cogenerator.
Proof: This follows from the dual implication.
Show 17 categories using this implication
- category of vector spaces
- category of abelian groups
- category of abelian sheaves
- category of combinatorial species
- category of compact Hausdorff spaces
- category of Jónsson-Tarski algebras
- category of left modules over a division ring
- category of left modules over a ring
- category of M-sets
- category of pairs of sets
- category of pointed sets
- category of set functions and commutative squares
- category of sets and relations
- category of sheaves
- category of simplicial sets
- category of torsion abelian groups
- walking fork