Implication Details
Claim: If a category has countable powers, then it has finite powers.
Proof: This is trivial.
Show 15 categories using this implication
- empty category
- discrete category on two objects
- delooping of the additive monoid of ordinal numbers
- category of finite sets and injections
- category of finite sets of even cardinality
- category of fields
- category of fields of characteristic zero
- partially ordered set of natural numbers
- partially ordered collection of ordinal numbers
- category of partially ordered sets without isolated points
- discrete category of sets
- category of sets with finite-to-one maps
- cocompletion of a discrete–pair join
- walking fork
- walking span