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- W2461616615 abstract "We describe a new method for constructing a weight structure $w$ on a triangulated category $C$. For a given $C$ and $w$ it allow us to give a fairly comprehensive (and new) description of those triangulated categories consisting of retracts of objects of $C$ (i.e., of subcategories of the Karoubi envelope of $C$ that contain $C$; we call them idempotent extensions of $C$) such that $w$ extends to them. In particular, any bounded above or below $w$ extends to any idempotent extension of $C$. We also discuss the applications of our results to certain triangulated categories of (relative) motives." @default.
- W2461616615 created "2016-07-22" @default.
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- W2461616615 date "2016-05-26" @default.
- W2461616615 modified "2023-09-27" @default.
- W2461616615 title "On constructing weight structures and extending them to idempotent extensions" @default.
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