Implication Details
Claim: If a category is a generalized variety, then it is ℵ₁-accessible.
Proof: See [AR01, Remark 4.8(2)].
Show 34 categories using this implication
- category of abelian groups
- category of algebras
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of fields
- category of free abelian groups
- category of groups
- category of Jónsson-Tarski algebras
- category of left modules over a division ring
- category of left modules over a ring
- category of M-sets
- category of metric spaces with continuous maps
- category of monoids
- category of pairs of sets
- category of pointed sets
- category of rings
- category of rngs
- category of semigroups
- category of set functions and commutative squares
- category of sets
- category of sets and relations
- category of simplicial sets
- category of vector spaces
- category of Z-functors
- delooping of the additive monoid of ordinal numbers
- partially ordered collection of ordinal numbers
- partially ordered set of extended natural numbers
- walking commutative square
- walking composable pair
- walking coreflexive pair
- walking idempotent
- walking morphism
- walking splitting