Implication Details
Claim: If a category is locally ℵ₁-presentable, then it is locally presentable.
Proof: This is trivial.
Show 38 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 small categories
- category of cochain complexes of abelian groups
- category of compact Hausdorff spaces
- simplex category
- category of groups
- category of metric spaces with ∞ allowed
- category of monoids
- category of sets with a distinguished subset
- partially ordered set of extended natural numbers
- category of partially ordered sets
- category of preordered sets
- category of left modules over a ring
- category of left modules over a division ring
- category of left modules over a non-semisimple ring
- category of rings
- category of rngs
- category of semigroups
- category of sequences of abelian groups
- category of pointed sets
- category of non-empty sets
- category of vector spaces
- preordered set of integers w.r.t. divisibility
- forked commutative square
- category of graded abelian groups
- category of graded modules over a graded ring
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking coreflexive pair
- walking morphism
- dual of the category of sets
- dual of the category of topological spaces