Implication Details
Assumptions: locally ℵ₁-presentable
Conclusions: locally presentable
Proof: This is trivial.
Show 31 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 groups
- category of left modules over a division ring
- category of left modules over a ring
- category of metric spaces with ∞ allowed
- category of monoids
- category of non-empty sets
- category of pointed sets
- category of posets
- category of prosets
- category of rings
- category of rngs
- category of semigroups
- category of small categories
- category of vector spaces
- poset [0,1]
- 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