Implication Details
Claim: If a category is inhabited and is thin, then it has a cogenerator.
Proof: This follows from the dual implication.
Show 11 categories using this implication
- discrete category on two objects
- category of groups
- category of countable groups
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- partially ordered collection of ordinal numbers
- category of rngs
- preordered set of integers w.r.t. divisibility
- real interval [0,1]
- walking commutative square
- walking composable pair