Implication Details
Claim: If a category is cototal, then it is cocomplete.
Proof: This follows from the dual implication.
Show 14 categories using this implication
- category of finite sets and injections
- category of finite sets and surjections
- category of finite abelian groups
- category of fields of characteristic zero
- category of free abelian groups
- category of smooth manifolds
- category of metric spaces with continuous maps
- partially ordered set of natural numbers
- category of schemes
- category of countable sets
- category of sets with finite-to-one maps
- category of countable-dimensional vector spaces
- walking fork
- walking span