Homotopy theory of well-generated algebraic triangulated categories

摘要

For every regular cardinal a, 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 alpha-small SLIMS. 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.