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Homotopy theory of Well-generated algebraic triangulated categories

Goncalo Tabuada
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Abstract

For every regular cardinal $α$, we construct a cofibrantly generated Quillen model structure on a category whose objects are essentially DG categories which are stable under suspensions, cosuspensions, cones and $α$-small sums. Using results of Porta, we show that the category of well-generated (algebraic) triangulated categories in the sense of Neeman is naturally enhanced by our Quillen model category.

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Goncalo Tabuada. 2007-03-06. Homotopy theory of Well-generated algebraic triangulated categories. https://arxiv.org/abs/math/0703172

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