Implication Details
Claim: If a category is cocomplete, then it is multi-cocomplete.
Proof: This follows from the dual implication.
Show 33 categories using this implication
- category of Banach spaces with linear contractions
- category of small categories
- category of cochain complexes of abelian groups
- category of compact Hausdorff spaces
- category of finite sets and surjections
- category of filtered vector spaces
- category of groups
- category of Hausdorff spaces
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with ∞ allowed
- category of sets with a distinguished subset
- partially ordered collection of ordinal numbers
- category of partially ordered sets
- category of preordered sets
- category of sequences of abelian groups
- discrete category of sets
- category of set-indexed families of abelian groups
- category of sheaves
- category of abelian sheaves
- category of topological spaces
- category of pointed topological spaces
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of long transfinite sequences of abelian groups
- category of uniform spaces
- category of large vector spaces over a large field with a small basis
- category of Z-functors
- preordered set of integers w.r.t. divisibility
- cocompletion of a discrete–pair join
- category of graded abelian groups
- category of graded modules over a graded ring
- real interval [0,1]