Implication Details
Assumptions: finitely accessible
Conclusions: filtered colimits
Proof: This holds by definition.
Show 42 categories using this implication
- empty category
- discrete category on two objects
- category of abelian groups
- category of finitely generated abelian groups
- category of algebras
- delooping of the additive monoid of natural numbers
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of small categories
- simplex category
- category of finite sets and injections
- category of finite sets and surjections
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- category of finite sets
- category of fields
- category of groups
- category of countable groups
- category of smooth manifolds
- category of monoids
- poset of natural numbers
- poset of extended natural numbers
- 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 countable sets
- category of sets with finite-to-one maps
- category of pointed sets
- category of non-empty sets
- category of combinatorial species
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of vector spaces
- walking commutative square
- walking composable pair
- walking morphism