Implication Details
Claim: If a category has countable powers and has ℵ₁-cofiltered limits, then it has powers.
Proof: This follows from the dual implication.
Show 7 categories using this implication
- delooping of a group
- delooping of an infinite uncountable group
- category of finite-dimensional vector spaces
- category of finite-dimensional vector spaces [uncountable field]
- category of metric spaces with continuous maps
- category of finitely generated projective modules over the ring of dual numbers
- category of combinatorial species