Implication Details
Claim: If a category is extensive, then it has finite coproducts.
Proof: This holds by definition.
Show 23 categories using this implication
- empty category
- discrete category on two objects
- category of finite sets and bijections
- delooping of a group
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of an infinite uncountable group
- category of small categories
- category of compact Hausdorff spaces
- simplex category
- category of finite sets and surjections
- category of finite groups
- category of finite ordered sets
- 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
- category of pseudo-metric spaces with non-expansive maps
- category of schemes
- category of uniform spaces
- walking coreflexive pair
- walking idempotent
- walking splitting