Implication Details
Assumptions: extensive
Conclusions: finite coproducts
Proof: This holds by definition.
Show 33 categories using this implication
- category of compact Hausdorff spaces
- category of countable sets
- category of finite groups
- category of finite ordered sets
- category of finite sets and bijections
- category of finite sets and injections
- category of finite sets and surjections
- 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 non-empty sets
- category of posets
- category of prosets
- category of pseudo-metric spaces with non-expansive maps
- category of schemes
- category of sets with finite-to-one maps
- category of small categories
- category of smooth manifolds
- category of topological spaces
- category of Z-functors
- delooping of a non-trivial finite group
- delooping of an infinite countable group
- delooping of an infinite uncountable group
- discrete category on two objects
- empty category
- simplex category
- walking coreflexive pair
- walking idempotent
- walking span
- walking splitting