Implication Details
Claim: If a category is Cauchy complete and is essentially small, then it is accessible.
Proof: See Makkai-Pare, Thm. 2.2.2.
Show 20 categories using this implication
- category of countable groups
- category of countable sets
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- category of finite sets
- category of finite sets and bijections
- category of finite sets and injections
- category of finite-dimensional vector spaces [finite field]
- category of smooth manifolds
- delooping of a non-trivial finite group
- delooping of an infinite countable group
- delooping of an infinite uncountable group
- discrete category on two objects
- empty category
- partially ordered set of natural numbers
- simplex category
- walking fork
- walking parallel pair
- walking span