Implication details
Claim: A category is coaccessible and is cocomplete if and only if it is locally copresentable.
Proof: This follows from the dual implication.
This implication has a dual.
Show 17 categories using this implication
- category of finite sets and injections
- category of finite sets and surjections
- category of finite abelian groups
- category of free abelian groups
- category of smooth manifolds
- category of metric spaces with continuous maps
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- partially ordered collection of ordinal numbers
- category of quivers with finite components
- category of schemes
- category of countable sets
- category of countable-dimensional vector spaces
- category of large vector spaces over a large field with a small basis
- category of finite Z-sets
- walking fork
- walking span