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15 votes
2 answers
382 views

Is every accessible category well-powered?

Every locally presentable category is well-powered: since it is a full reflective subcategory of a presheaf topos, its subobject lattices are subsets of those of the latter. Every accessible category …
Mike Shulman's user avatar
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17 votes
2 answers
549 views

Raising the index of accessibility

In the standard reference books Locally presentable and accessible categories (Adamek-Rosicky, Theorem 2.11) and Accessible categories (Makkai-Pare, $\S$2.3), it is shown that for regular cardinals $ …
Mike Shulman's user avatar
  • 66.8k