Implication details
Claim: If a category is essentially countable, then it is essentially small.
Proof: This is trivial.
Show 39 categories using this implication
- category of large families of abelian groups
- category of finitely generated abelian groups
- category of finite sets and bijections
- delooping of the additive monoid of ordinal numbers
- category of finite sets and injections
- category of finite sets and surjections
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- category of finite sets
- 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
- category of fields of characteristic zero
- category of finitely generated free abelian groups
- category of finitely generated free modules over Z x Z
- category of Hausdorff spaces
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of pseudo-metric spaces with non-expansive maps
- category of connected sequences of sets
- category of sets and bijections
- discrete category of sets
- category of large families of sets
- category of large families of sets and bijections
- category of large families of sets which are mostly singletons
- category of sets with finite-to-one maps
- indiscrete category of sets
- category of non-empty sets
- category of empty-or-finite pairs of sets
- category of topological spaces
- category of pointed topological spaces
- category of long transfinite sequences of abelian groups
- category of uniform spaces
- category of Z-functors
- category of finite Z-sets
- cocompletion of a discrete–pair join
- category of ω-sets