Implication Details
Claim: If a category is coextensive, then it has finite products.
Proof: This follows from the dual implication.
Show 15 categories using this implication
- empty category
- discrete category on two objects
- 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
- category of commutative algebras
- category of commutative rings
- category of finite sets and injections
- category of finite sets and surjections
- partially ordered collection of ordinal numbers
- category of sets with finite-to-one maps
- walking idempotent
- walking splitting