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Results tagged with accessible-categories
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Bousfield localization of a left proper accessible model category
In combinatorial and accessible weak model categories (also on ArXiv) I've studied Bousfield localization of weak and semi-model categories in both the combinatorial and accessible case.
In particular …
- 42.4k
7
votes
Accepted
Almost combinatorial accessible model categories
Actually, you can, and you don't need accessibility (local presentability of the underlying category is enough).
Under your assumption, for each $i:A \to B$ a generating cofibration, take $B \coprod_A …
- 42.4k
9
votes
Accepted
presentability rank of categories of coalgebras
The case of algebras for a monad is discussed explicitly in Gregory Bird's thesis (see theorem 6.9). The case of the categories of algebras for an endofunctor or pointed endofunctor can be deduced fro …
- 42.4k
7
votes
Accepted
Is every accessible category well-powered?
It seems to me that every category with a small set of dense generator is well powered. In particular accessible categories are well powered.
Dense generator means that you have a small full subcateg …
- 42.4k