Implication details
Claim: If a category is Cauchy complete and is essentially finite, then it is finitely coaccessible.
Proof: This follows from the dual implication.
This implication has a dual.
Show 21 categories using this implication
- category of sets equipped with an irreflexive binary relation
- category of sets equipped with a symmetric irreflexive binary relation
- category of finite sets and surjections
- category of filtered vector spaces
- category of groups
- category of measurable spaces
- category of sets with a distinguished subset
- category of left modules over a ring
- category of left modules over a division ring
- category of rngs
- category of pointed sets
- category of large families of sets which are mostly empty
- category of torsion-free abelian groups
- category of uniform spaces
- category of vector spaces
- forked commutative square
- category of graded modules over a graded ring
- walking coreflexive pair
- walking fork
- walking parallel pair
- walking splitting