Implication details
Claim: If a category is Cauchy complete and is essentially countable and is locally finite, then it is ℵ₁-coaccessible.
Proof: This follows from the dual implication.
This implication has a dual.
Show 11 categories using this implication
- category of combinatorial species
- simplex category
- category of finite sets and surjections
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- category of finite sets
- category of finite Z-sets
- preordered set of integers w.r.t. divisibility
- walking commutative square
- walking span