Implication Details
Claim: If a category is core-thin, then it has coquotients of cocongruences and has effective cocongruences.
Proof: This follows from the dual implication.
This implication has a dual.
Show 22 categories using this implication
- category of algebras
- category of small categories
- simplex category
- category of finite ordered sets
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with ∞ allowed
- category of monoids
- partially ordered set of extended natural numbers
- category of pseudo-metric spaces with non-expansive maps
- category of partially ordered sets
- category of preordered sets
- category of rings
- category of rngs
- category of semigroups
- category of non-empty sets
- category of topological spaces
- category of uniform spaces
- cocompletion of a discrete–pair join
- walking coreflexive pair
- walking idempotent
- walking splitting