Implication details
Claim: If a category is balanced and has a cogenerating collection, then it has an extremal cogenerating collection.
Proof: This follows from the dual implication.
This implication has a dual.
Show 17 categories using this implication
- category of large families of abelian groups
- category of Jónsson-Tarski algebras
- category of M-sets
- category of quivers
- category of sequences of sets
- category of connected sequences of sets
- category of pointed sets
- category of set functions and commutative squares
- discrete category of sets
- category of large families of sets
- category of pairs of sets
- category of empty-or-finite pairs of sets
- category of sheaves
- category of abelian sheaves
- category of large vector spaces over a large field with a small basis
- category of Z-sets
- category of simplicial sets