On Combinatorial Model Categories
نویسندگان
چکیده
منابع مشابه
Combinatorial Model Categories
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 o...
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We show that the category of algebraically cofibrant objects in a combinatorial and simplicial model category A has a model structure that is left-induced from that on A. In particular it follows that any presentable model category is Quillen equivalent (via a single Quillen equivalence) to one in which all objects are cofibrant. Let A be a cofibrantly generated model category. Garner’s version...
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Given a category C of a combinatorial nature, we study the following fundamental question: how does the combinatorial behavior of C affect the algebraic behavior of representations of C? We prove two general results. The first gives a combinatorial criterion for representations of C to admit a theory of Gröbner bases. From this, we obtain a criterion for noetherianity of representations. The se...
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ژورنال
عنوان ژورنال: Applied Categorical Structures
سال: 2008
ISSN: 0927-2852,1572-9095
DOI: 10.1007/s10485-008-9171-2