Implication Details
Claim: If a category has countable copowers and is essentially countable, then it is thin.
Proof: This follows from the dual implication.
Show 9 categories using this implication
- category of countable groups
- category of countable sets
- category of finite-dimensional vector spaces [countable field]
- category of finitely generated abelian groups
- category of free abelian groups
- category of schemes
- category of smooth manifolds
- delooping of an infinite countable group
- delooping of the additive monoid of natural numbers