Implication Details
Assumptions: infinitary extensive
Conclusions: coproducts
Proof: This holds by definition.
Show 34 categories using this implication
- category of countable groups
- category of countable sets
- category of finite abelian groups
- 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 finite-dimensional vector spaces [countable field]
- category of finite-dimensional vector spaces [finite field]
- category of finite-dimensional vector spaces [uncountable field]
- category of finitely generated abelian groups
- category of Hausdorff spaces
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with ∞ allowed
- category of posets
- category of prosets
- 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
- delooping of the additive monoid of natural numbers
- empty category
- poset of natural numbers
- simplex category
- walking idempotent
- walking parallel pair
- walking splitting