Implication Details
Assumptions: quotient object classifier
Conclusions: epi-regular, finitely cocomplete
This implication has been dualized from this implication.
Show 40 categories using this implication
- empty category
- discrete category on two objects
- category of finite sets and bijections
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- category of Banach spaces with linear contractions
- category of small categories
- simplex category
- category of finite sets and surjections
- category of finite groups
- category of fields
- category of free abelian groups
- 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 metric spaces with ∞ allowed
- poset of natural numbers
- poset of extended natural numbers
- category of pseudo-metric spaces with non-expansive maps
- category of posets
- category of prosets
- category of schemes
- category of semigroups
- category of sets with finite-to-one maps
- category of non-empty sets
- category of topological spaces
- category of torsion-free abelian groups
- proset of integers w.r.t. divisibility
- poset [0,1]
- walking coreflexive pair
- walking fork
- walking idempotent
- walking parallel pair
- walking span
- walking splitting