Implication Details
Claim: If a category has disjoint finite products, then it has finite products.
Proof: This follows from the dual implication.
This implication has a dual.
Show 15 categories using this implication
- empty category
- discrete category on two objects
- category of algebras
- delooping of a non-trivial finite group
- simplex category
- category of finite sets and surjections
- category of finite sets of even cardinality
- category of fields
- partially ordered collection of ordinal numbers
- category of partially ordered sets without isolated points
- category of rings
- category of large families of sets which are mostly empty
- walking coreflexive pair
- walking idempotent
- walking splitting