Implication Details
Assumptions: locally finitely presentable
Conclusions: exact filtered colimits
Proof: Special case of Adamek-Rosicky, Prop. 1.59 with .
Show 39 categories using this implication
- category of abelian groups
- category of algebras
- category of Banach spaces with linear contractions
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of compact Hausdorff spaces
- category of filtered vector spaces
- category of groups
- category of Hausdorff spaces
- category of left modules over a division ring
- category of left modules over a ring
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of metric spaces with ∞ allowed
- category of monoids
- category of non-empty sets
- category of pointed sets
- category of pointed topological spaces
- category of posets
- category of prosets
- category of rings
- category of rngs
- category of semigroups
- category of small categories
- category of topological spaces
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of vector spaces
- poset of extended natural numbers
- proset of integers w.r.t. divisibility
- simplex category
- walking commutative square
- walking composable pair
- walking coreflexive pair
- walking morphism
- dual of the category of sets
- dual of the category of topological spaces