Implication Details
Claim: If a category is locally finitely presentable, then it is locally ℵ₁-presentable.
Proof: This is trivial.
Show 35 categories using this implication
- trivial category
- category of abelian groups
- category of algebras
- 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 groups
- category of Jónsson-Tarski algebras
- category of M-sets
- 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 sets
- category of pointed sets
- category of set functions and commutative squares
- category of pairs of sets
- category of vector spaces
- category of graded abelian groups
- category of graded modules over a graded ring
- category of simplicial sets
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism