Implication details
Claim: If a category has binary powers and is retract-trivial, then it is thin.
Proof: This follows from the dual implication.
This implication has a dual.
Show 11 categories using this implication
- category of finite sets and bijections
- delooping of a group
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of an infinite uncountable group
- category of finite sets and injections
- category of finite sets and surjections
- category of fields
- category of fields of characteristic zero
- category of sets and bijections
- category of large families of sets and bijections