Homotopy theory of Well-generated algebraic triangulated categories

Details Homotopy theory of Well-generated algebraic triangulated categories Homotopy theory of Well-generated algebraic triangulated categories

2007-03-06

arxiv.org/abs/math/0703172v1

Mathematics

K-Theory and Homology

17 pages

Scientific paper

For every regular cardinal $\alpha$, 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 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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