Rouquier's Cocovering Theorem and Well-generated Triangulated Categories

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Rouquier’s Cocovering Theorem and Well-generated Triangulated Categories

We study cocoverings of triangulated categories, in the sense of Rouquier, and prove that for any regular cardinal α the condition of α-compactness, in the sense of Neeman, is local with respect to such cocoverings. This was established for ordinary compactness by Rouquier. Our result yields a new technique for proving that a given triangulated category is well-generated. As an application we d...

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ژورنال

عنوان ژورنال: Journal of K-Theory

سال: 2010

ISSN: 1865-2433,1865-5394

DOI: 10.1017/is010005005jkt115