Implication Details
Claim: If a category is infinitary extensive, then it has coproducts.
Proof: This holds by definition.
Show 35 categories using this implication
- category of finitely generated abelian groups
- 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
- delooping of the additive monoid of natural numbers
- category of small categories
- category of finite sets and injections
- category of finite sets and surjections
- category of finite abelian groups
- category of finite groups
- category of finite-dimensional vector spaces
- 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 countable groups
- category of Hausdorff spaces
- category of locally ringed spaces
- category of smooth manifolds
- category of metric spaces with ∞ allowed
- category of partially ordered sets
- category of preordered sets
- category of schemes
- category of countable sets
- category of combinatorial species
- category of topological spaces
- category of Z-functors
- forked commutative square
- walking coreflexive pair
- walking fork
- walking idempotent
- walking parallel pair
- walking span
- walking splitting