Implication details
Claim: If a category has a generator and is a groupoid, then it has an extremal generator.
Proof: This is trivial.
This implication has a dual.
Show 13 categories using this implication
- discrete category on two objects
- category of sets equipped with a binary relation
- category of sets equipped with an irreflexive binary relation
- category of sets equipped with a symmetric binary relation
- category of sets equipped with a symmetric irreflexive binary relation
- category of sets with a distinguished subset
- partially ordered set of natural numbers
- discrete category of sets
- category of ω-sets
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking span