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Homotopy theory of well-generated algebraic triangulated categories
Gonçalo Tabuada
Journal:

Journal of K-Theory / Volume 3 / Issue 1 / February 2009

Published online by Cambridge University Press:

11 February 2008, pp. 53-75

Print publication:

February 2009
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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.