Implication details
Claim: If a category has disjoint finite products and is regular-quotient-trivial, then it is trivial.
Proof: This follows from the dual implication.
This implication has a dual.
Show 10 categories using this implication
- category of finite sets and bijections
- delooping of a 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
- category of finite sets of odd cardinality
- category of sets and bijections
- category of large families of sets and bijections
- walking parallel pair