Implication details
Claim: If a category is a dual generalized variety, then it has effective cocongruences.
Proof: This follows from the dual implication.
This implication has a dual.
Show 30 categories using this implication
- empty category
- trivial category
- discrete category on two objects
- 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 commutative monoids
- category of small categories
- category of finite sets and injections
- category of finitely generated free abelian groups
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of extended metric spaces
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- category of pseudo-metric spaces with non-expansive maps
- category of partially ordered sets
- category of partially ordered sets without isolated points
- category of preordered sets
- category of countably infinite sets
- indiscrete category of sets
- category of topological spaces
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism
- walking splitting