Implication Details
Claim: If a category has kernel pairs and has a terminal object, then it has binary powers.
Proof: If is a terminal object, then .
This implication has a dual.
Show 14 categories using this implication
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- simplex category
- category of finite sets and injections
- category of finite groups
- category of finite ordered sets
- category of fields of characteristic zero
- category of sets with finite-to-one maps
- cocompletion of a discrete–pair join
- forked commutative square
- walking coreflexive pair
- walking fork
- walking parallel pair
- walking splitting