Combinatorial Model Categories
نویسنده
چکیده
In this section, C denotes a fixed category, which is locally U-small by convention. Our goal here is to define locally presentable categories, which are, very roughly, categories determined by colimits of nice diagrams in a prescribed U-small full subcategory. Under this interpretation as being completely determined by a U-small category, it is not surprising that the theory of localizations of such categories is more tractable from a set-theoretic perspective than the general case. We only present the definition here. The reader will find detailed exposition of the theory of locally presentable categories in [AR94], [Bar10], [Bek00], [Bor94, Chapter 5] and [Lur09, §5].
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