Implication Details
Assumptions: locally copresentable, locally presentable
Conclusions: essentially small
Proof: This follows from Adamek-Rosicky, Thm. 1.64.
Show 29 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 compact Hausdorff spaces
- category of groups
- category of Jónsson-Tarski algebras
- category of M-sets
- category of metric spaces with ∞ allowed
- category of monoids
- 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 sets
- category of pointed sets
- category of pairs of sets
- category of sheaves
- category of abelian sheaves
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of vector spaces
- category of simplicial sets