Implication Details
Claim: If a category has ℵ₁-cofiltered limits, then it is Cauchy complete.
Proof: This follows from the dual implication.
Show 12 categories using this implication
- category of finitely generated abelian groups
- category of coproducts of Euclidean spaces
- category of finite sets
- category of finite sets of even cardinality
- category of finite sets of odd cardinality
- category of finite sets of cardinality a power of 3
- category of finitely generated free modules over Z x Z
- category of partially ordered sets without isolated points
- category of sets and relations
- category of semigroups
- category of combinatorial species
- walking idempotent