Implication Details
Assumptions: finitely complete, thin
Conclusions: Malcev
Proof: In a thin category, every subobject of containing is already .
Show 27 categories using this implication
- category of Banach spaces with linear contractions
- category of commutative monoids
- category of compact Hausdorff spaces
- category of Hausdorff spaces
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with continuous maps
- category of metric spaces with non-expansive maps
- category of metric spaces with ∞ allowed
- category of monoids
- category of pointed sets
- category of posets
- category of prosets
- category of pseudo-metric spaces with non-expansive maps
- category of schemes
- category of semigroups
- category of small categories
- category of topological spaces
- category of Z-functors
- poset [0,1]
- poset of extended natural numbers
- proset of integers w.r.t. divisibility
- trivial category
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism