Implication details
Claim: If a category is finitely coaccessible, then it is ℵ₁-coaccessible.
Proof: This follows from the dual implication.
This implication has a dual.
Show 45 categories using this implication
- empty category
- trivial category
- discrete category on two objects
- category of large families of abelian groups
- category of finite sets and bijections
- delooping of a group
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of an infinite uncountable group
- category of coproducts of Euclidean spaces
- category of finite sets and injections
- category of finite sets of even cardinality
- category of finite sets of odd cardinality
- category of finite sets of cardinality a power of 3
- category of fields of characteristic zero
- category of free abelian groups
- category of finitely generated free modules over Z x Z
- category of countable groups
- category of finitely generated groups
- category of smooth manifolds
- category of metric spaces with non-expansive maps
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- partially ordered collection of ordinal numbers
- category of pseudo-metric spaces with non-expansive maps
- category of partially ordered sets without isolated points
- category of sets and relations
- category of connected sequences of sets
- category of sets and bijections
- category of countable sets
- discrete category of sets
- category of large families of sets
- category of large families of sets and bijections
- indiscrete category of sets
- category of non-empty sets
- category of empty-or-finite pairs of sets
- category of long transfinite sequences of abelian groups
- category of countable-dimensional vector spaces
- cocompletion of a discrete–pair join
- forked commutative square
- walking coreflexive pair
- walking fork
- walking idempotent
- walking isomorphism
- walking parallel pair