Implication Details
Claim: If a category is finitely complete and is thin, then it is Malcev.
Proof: In a thin category, every subobject of containing is already .
Show 24 categories using this implication
- trivial category
- category of Banach spaces with linear contractions
- category of commutative monoids
- category of small categories
- category of compact Hausdorff spaces
- category of Hausdorff spaces
- category of locally ringed spaces
- category of metric spaces with non-expansive maps
- category of metric spaces with continuous maps
- 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 schemes
- category of semigroups
- category of pointed sets
- category of Z-functors
- preordered set of integers w.r.t. divisibility
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism