Implication Details
Claim: If a category has powers, then it has ℵ₂-small powers.
Proof: This is trivial.
Show 27 categories using this implication
- category of countable groups
- category of countable sets
- category of fields
- category of free abelian groups
- category of Jónsson-Tarski algebras
- category of M-sets
- category of metric spaces with continuous maps
- category of metric spaces with non-expansive maps
- category of pairs of sets
- category of partially ordered sets
- category of preordered sets
- category of pseudo-metric spaces with non-expansive maps
- category of schemes
- category of set functions and commutative squares
- category of sets
- category of sets with finite-to-one maps
- category of sheaves
- category of simplicial sets
- category of small categories
- category of smooth manifolds
- delooping of the additive monoid of ordinal numbers
- discrete category on two objects
- empty category
- partially ordered collection of ordinal numbers
- partially ordered set of natural numbers
- preordered set of integers w.r.t. divisibility
- walking span