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Homotopy theory of Well-generated algebraic triangulated categories

2007/03/06 by Tabuada, Goncalo
#18C15 #18C20 (Secondary) #18D20 (Primary) #18E30 #18E35 #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.math/0703172

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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