Implication details
Claim: If a category is a quasicotopos, then it is regular.
Proof: This follows from the dual implication.
This implication has a dual.
Show 26 categories using this implication
- trivial category
- delooping of the double bicyclic monoid
- category of small categories
- category of coproducts of Euclidean spaces
- category of finite sets of even cardinality
- category of finitely generated free modules over Z x Z
- category of Hausdorff spaces
- category of locally ringed spaces
- category of smooth manifolds
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of metric spaces with continuous maps
- category of extended metric spaces
- 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 finitely generated projective modules over the ring of dual numbers
- category of sets and relations
- category of schemes
- indiscrete category of sets
- category of topological spaces
- category of uniform spaces
- walking idempotent
- walking isomorphism
- walking parallel pair