Implication Details
Claim: If a category has disjoint finite coproducts, then it has finite coproducts.
Proof: This holds by definition.
This implication has a dual.
Show 38 categories using this implication
- empty category
- trivial category
- discrete category on two objects
- delooping of a non-trivial finite group
- simplex category
- category of finite sets and surjections
- category of finite groups
- category of finite ordered sets
- category of finite sets
- category of finite sets of even cardinality
- category of finite sets of odd cardinality
- category of finite sets of cardinality a power of 3
- category of fields
- category of Jónsson-Tarski algebras
- category of M-sets
- category of metric spaces with non-expansive maps
- category of sets with a distinguished subset
- category of pseudo-metric spaces with non-expansive maps
- category of quivers
- category of sequences of sets
- category of connected sequences of sets
- category of sets
- category of set functions and commutative squares
- category of large families of sets which are mostly singletons
- indiscrete category of sets
- category of non-empty sets
- category of pairs of sets
- category of empty-or-finite pairs of sets
- category of sheaves
- category of combinatorial species
- category of finite Z-sets
- category of Z-sets
- category of simplicial sets
- walking coreflexive pair
- walking idempotent
- walking isomorphism
- walking span
- walking splitting