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Homotopy theory of well-generated algebraic triangulated categories

Published online by Cambridge University Press:  11 February 2008

Gonçalo Tabuada
Gonçalo Tabuada
Affiliation:
Université Paris 7 – Denis Diderot, UMR 7586 du CNRS, case 7012, 2 Place Jussieu, 75251 Paris cedex 05, France, tabuada@math.jussieu.fr.
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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.

Keywords

Monads and algebrasQuillen model structurewell-generated algebraic triangulated categoryVerdier's quotientexact dg categoryα-cocompletness
Type
Research Article
Information
Journal of K-Theory , Volume 3 , Issue 1 , February 2009 , pp. 53 - 75
Copyright
Copyright © ISOPP 2009

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