Publisher： Cambridge University Press
E-ISSN： 1865-5394|1|2|193-256
ISSN： 1865-2433
Source： Journal of K-Theory, Vol.1, Iss.2, 2008-04, pp. : 193-256
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Abstract
We define a dimension for a triangulated category. We prove a representability Theorem for a class of functors on finite dimensional triangulated categories. We study the dimension of the bounded derived category of an algebra or a scheme and we show in particular that the bounded derived category of coherent sheaves over a variety has a finite dimension.
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