Implication details
Claim: If a category is concretizable, then it is locally essentially small.
Proof: If is a faithful functor, for every pair of objects , the collection embeds into the set , so that it is essentially small.
Show 8 categories using this implication
- category of large families of abelian groups
- delooping of the additive monoid of ordinal numbers
- category of large families of sets
- category of large families of sets and bijections
- category of long transfinite sequences of abelian groups
- category of large families of vector spaces which are mostly zero
- category of large vector spaces over a large field with a small basis
- category of Z-functors