Implication details
Claim: If a category is finitely cocomplete and is left cancellative, then it has a regular quotient object classifier.
Proof: This follows from the dual implication.
This implication has a dual.
Show 15 categories using this implication
- trivial category
- category of commutative algebras
- category of commutative rings
- category of groups
- category of countable groups
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- partially ordered collection of ordinal numbers
- indiscrete category of sets
- preordered set of integers w.r.t. divisibility
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism