Implication details
Claim: If a category has a cogenerating collection and is locally essentially small, then it is concretizable.
Proof: This follows from the dual implication.
This implication has a dual.
Show 11 categories using this implication
- category of Banach spaces with linear contractions
- category of finite sets and surjections
- category of free abelian groups
- category of quivers with finite components
- category of connected sequences of sets
- category of pointed sets
- category of large families of sets which are mostly singletons
- category of empty-or-finite pairs of sets
- category of combinatorial species
- category of torsion-free abelian groups
- cocompletion of a discrete–pair join