On reflective subcategories of locally presentable categories
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Theory and Applications of Categories |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.tac.mta.ca/tac/volumes/30/41/30-41abs.html |
| Field | General mathematics |
| Keywords | locally presentable category; reflective subcategory; elementary equivalence |
| Description | Are all subcategories of locally finitely presentable categories that are closed under limits and lambda-filtered colimits also locally presentable? For full subcategories the answer is affirmative. Makkai and Pitts proved that in the case lambda=omega the answer is affirmative also for all iso-full subcategories. We discuss a possible generalization of this to an arbitrary lambda. |
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