Implication Details
Claim: If a category is inhabited and is thin, then it has a cogenerator.
Proof: This follows from the dual implication.
This implication has a dual.
Show 12 categories using this implication
- discrete category on two objects
- category of F(I)-sets
- category of countable groups
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- partially ordered collection of ordinal numbers
- discrete category of sets
- category of long transfinite sequences of abelian groups
- preordered set of integers w.r.t. divisibility
- real interval [0,1]
- walking commutative square
- walking composable pair