Implication Details
Claim: If a category has finite powers, then it has binary powers and has a terminal object.
Proof: This is trivial.
Show 18 categories using this implication
- category of fields
- category of finite ordered sets
- category of finite sets and bijections
- category of finite sets and injections
- category of finite sets and surjections
- category of sets with finite-to-one maps
- delooping of a non-trivial finite group
- delooping of an infinite countable group
- delooping of an infinite uncountable group
- delooping of the additive monoid of natural numbers
- 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
- simplex category
- walking fork
- walking span