Implication details
Claim: If a category has coproducts and has an extremal generating collection and is strongly connected, then it has an extremal generator.
Proof: We get this as a corollary of this result.
This implication has a dual.
Show 13 categories using this implication
- category of Banach spaces with linear contractions
- category of cochain complexes of abelian groups
- category of filtered vector spaces
- category of sets with a distinguished subset
- partially ordered set of extended natural numbers
- category of sequences of abelian groups
- category of torsion abelian groups
- category of torsion-free abelian groups
- preordered set of integers w.r.t. divisibility
- category of graded abelian groups
- category of graded modules over a graded ring
- real interval [0,1]
- walking composable pair