Implication Details
Claim: If a category has countable copowers and is locally finite, then it is thin.
Proof: This follows from the dual implication.
Show 15 categories using this implication
- category of finite sets and bijections
- delooping of a non-trivial finite group
- category of finite sets and injections
- category of finite abelian groups
- category of finite-dimensional vector spaces [finite field]
- category of free abelian groups
- category of countable groups
- category of smooth manifolds
- category of schemes
- category of countable sets
- forked commutative square
- walking fork
- walking idempotent
- walking parallel pair
- walking splitting