Implication details
Claim: If a category is total, then it is complete.
Proof: This is proven in Kelly, Thm. 5.6.
This implication has a dual.
Show 15 categories using this implication
- category of finitely generated abelian groups
- simplex category
- category of fields
- category of groups
- category of countable groups
- category of finitely generated groups
- partially ordered collection of ordinal numbers
- category of finitely generated projective modules over the ring of dual numbers
- category of large families of sets which are mostly empty
- category of non-empty sets
- category of vector spaces
- category of large vector spaces over a large field with a small basis
- cocompletion of a discrete–pair join
- forked commutative square
- walking coreflexive pair