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