Implication details
Claim: If a category is core-connected, then it has an extremal cogenerator.
Proof: This follows from the dual implication.
This implication has a dual.
Show 13 categories using this implication
- trivial category
- 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
- delooping of the additive monoid of ordinal numbers
- category of commutative monoids
- category of countable groups
- category of finitely generated groups
- indiscrete category of sets
- walking idempotent
- walking isomorphism