Publication details

On reflective subcategories of locally presentable categories

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Year of publication 2015
Type Article in Periodical
Magazine / Source Theory and Applications of Categories
MU Faculty or unit

Faculty of Science

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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