Implication Details
Claim: If a category is regular-quotient-trivial, then it has effective cocongruences.
Proof: This follows from the dual implication.
This implication has a dual.
Show 17 categories using this implication
- category of algebras
- category of small categories
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of metric spaces with ∞ allowed
- category of monoids
- 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 rings
- category of rngs
- category of semigroups
- category of topological spaces
- category of pointed topological spaces
- category of uniform spaces