Implication Details
Claim: If a category is cocomplete, then it is multi-cocomplete.
Proof: This follows from the dual implication.
Show 22 categories using this implication
- category of abelian sheaves
- category of Banach spaces with linear contractions
- category of compact Hausdorff spaces
- category of filtered vector spaces
- category of finite sets and surjections
- category of Hausdorff spaces
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with ∞ allowed
- category of partially ordered sets
- category of pointed topological spaces
- category of preordered sets
- category of sets with a distinguished subset
- category of sheaves
- category of small categories
- category of topological spaces
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of Z-functors
- partially ordered collection of ordinal numbers
- preordered set of integers w.r.t. divisibility
- real interval [0,1]