Implication Details
Assumptions: essentially countable
Conclusions: essentially small
Proof: This is trivial.
Show 26 categories using this implication
- category of finitely generated abelian groups
- category of algebras
- category of finite sets and bijections
- delooping of the additive monoid of ordinal numbers
- category of commutative algebras
- category of commutative rings
- category of small categories
- 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 fields
- category of Hausdorff spaces
- category of locally ringed spaces
- category of metric spaces with non-expansive maps
- category of pseudo-metric spaces with non-expansive maps
- category of rings
- category of schemes
- category of semigroups
- category of sets with finite-to-one maps
- category of non-empty sets
- category of topological spaces
- category of pointed topological spaces
- category of Z-functors