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Results tagged with accessible-categories
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user 43000
15
votes
Non-small objects in categories
In the opposite category of the category of sets, and of many algebraic categories, the only small objects are the empty set and the singleton. A conceptual reason for this is Freyd's (or Gabriel and …
- 3,411
3
votes
Accepted
About small-orthogonality classes of a locally presentable category
It seems to me that a negative answer follows immediately from the possibility, in many cases, of choosing $G\subset \mathcal A$, so that $G$ doesn't know anything about $R$ until one closes it under …
- 3,411