Implication Details
Assumptions: cocomplete
Conclusions: connected colimits, finitely cocomplete
This implication has been dualized from this implication.
Show 51 categories using this implication
- discrete category on two objects
- category of abelian groups
- category of algebras
- delooping of the additive monoid of ordinal numbers
- category of Banach spaces with linear contractions
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of small categories
- category of compact Hausdorff spaces
- simplex category
- category of fields
- category of groups
- category of Hausdorff spaces
- category of Jónsson-Tarski algebras
- category of locally ringed spaces
- category of M-sets
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of metric spaces with ∞ allowed
- category of monoids
- poset of extended natural numbers
- poset of ordinal numbers
- category of pseudo-metric spaces with non-expansive maps
- category of posets
- category of prosets
- category of left modules over a ring
- category of left modules over a division ring
- category of rings
- category of rngs
- category of semigroups
- category of sets
- category of sets with finite-to-one maps
- category of pointed sets
- category of pairs of sets
- 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 vector spaces
- category of Z-functors
- proset of integers w.r.t. divisibility
- poset [0,1]
- category of simplicial sets
- walking commutative square
- walking composable pair
- walking morphism
- walking parallel pair
- walking span