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 25 categories using this implication
- category of vector spaces
- category of abelian groups
- category of cochain complexes of abelian groups
- category of compact Hausdorff spaces
- category of Jónsson-Tarski algebras
- category of M-sets
- category of left modules over a ring
- category of left modules over a division ring
- category of left modules over a non-semisimple ring
- category of sets and relations
- category of sequences of abelian groups
- category of pointed sets
- category of set functions and commutative squares
- category of set-indexed families of abelian groups
- category of pairs of sets
- category of sheaves
- category of abelian sheaves
- category of combinatorial species
- category of torsion abelian groups
- category of countable-dimensional vector spaces
- category of large vector spaces over a large field with a small basis
- category of graded abelian groups
- category of graded modules over a graded ring
- category of simplicial sets
- walking fork